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In a adjacent figure angle a and angle b meet at a point of p.if c=100 and d=50 then find the measure of angle apb?
Verified Answer
In a adjacent figure angle a and angle b meet at a point of p.if c=100...
in this quadrilateral angles(a+b+c+d=360degree) so,a+b=360degree-(c+d)....1
in triangle abp
angle bap=a/2 because it is the bisector of angle a
angle abp=b/2 because it is a bisector of angle b
so, a/2+b/2+angle apb=180degree (Δs property)....2
now putting he value from 1 to 2
360degree-(c+d)/2+angle apb=180degree
360degree/2+(-c-d/2)+angle apb=180degree
180degree+(-c-d/2)+angle apb=180degree
angle apb=c+d/2
now putting the value of c and d
apb=100degree+60degree/2
apb=160degree/2
apb=80degree
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Most Upvoted Answer
In a adjacent figure angle a and angle b meet at a point of p.if c=100...
Given:
Angle c = 100 degrees
Angle d = 50 degrees
To find:
Measure of Angle APB
Explanation:
To find the measure of Angle APB, we need to consider the properties of adjacent angles.
Adjacent Angles:
Adjacent angles are angles that share a common vertex and a common side, but do not overlap. In this case, angles a and b are adjacent angles.
Angle Addition Postulate:
The angle addition postulate states that the measure of the whole angle is equal to the sum of the measures of its adjacent angles. Mathematically, it can be represented as:
Angle APB = Angle A + Angle B
Solution:
To find the measure of Angle APB, we need to find the measures of angles A and B.
Since angles c and d are given, we can conclude that:
Angle A = Angle c = 100 degrees
Angle B = Angle d = 50 degrees
Now, substituting the values of Angle A and Angle B in the Angle Addition Postulate equation, we get:
Angle APB = Angle A + Angle B
Angle APB = 100 degrees + 50 degrees
Angle APB = 150 degrees
Answer:
The measure of Angle APB is 150 degrees.
Angle c = 100 degrees
Angle d = 50 degrees
To find:
Measure of Angle APB
Explanation:
To find the measure of Angle APB, we need to consider the properties of adjacent angles.
Adjacent Angles:
Adjacent angles are angles that share a common vertex and a common side, but do not overlap. In this case, angles a and b are adjacent angles.
Angle Addition Postulate:
The angle addition postulate states that the measure of the whole angle is equal to the sum of the measures of its adjacent angles. Mathematically, it can be represented as:
Angle APB = Angle A + Angle B
Solution:
To find the measure of Angle APB, we need to find the measures of angles A and B.
Since angles c and d are given, we can conclude that:
Angle A = Angle c = 100 degrees
Angle B = Angle d = 50 degrees
Now, substituting the values of Angle A and Angle B in the Angle Addition Postulate equation, we get:
Angle APB = Angle A + Angle B
Angle APB = 100 degrees + 50 degrees
Angle APB = 150 degrees
Answer:
The measure of Angle APB is 150 degrees.
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In a adjacent figure angle a and angle b meet at a point of p.if c=100 and d=50 then find the measure of angle apb?
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In a adjacent figure angle a and angle b meet at a point of p.if c=100 and d=50 then find the measure of angle apb? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In a adjacent figure angle a and angle b meet at a point of p.if c=100 and d=50 then find the measure of angle apb? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a adjacent figure angle a and angle b meet at a point of p.if c=100 and d=50 then find the measure of angle apb?.
In a adjacent figure angle a and angle b meet at a point of p.if c=100 and d=50 then find the measure of angle apb? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In a adjacent figure angle a and angle b meet at a point of p.if c=100 and d=50 then find the measure of angle apb? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a adjacent figure angle a and angle b meet at a point of p.if c=100 and d=50 then find the measure of angle apb?.
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