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In the adjacent figure , the bisectors of angle A and angle B meet In a point P. If angle C = 100 degree and angle D = 60 degree, find the measure of angle APB?
Most Upvoted Answer
In the adjacent figure , the bisectors of angle A and angle B meet In ...
Given information:
- Angle C = 100 degrees
- Angle D = 60 degrees
Objective:
To find the measure of angle APB
Approach:
1. Draw the diagram and label the given angles.
2. Use the properties of angles formed by intersecting lines to find the measure of angle APB.
Diagram:
```
A
/\
/ \
C / \ D
/______\
B P
```
Solution:
Step 1: Draw the diagram and label the given angles.
Step 2: Use the properties of angles formed by intersecting lines to find the measure of angle APB.
- The bisectors of angle A and angle B meet at point P. This means that angle APB is divided into two equal angles, let's call them angle PAB and angle PBA.
- Since the bisectors divide the angles into two equal parts, angle PAB is half of angle C and angle PBA is half of angle D.
- Therefore, angle PAB = 100/2 = 50 degrees and angle PBA = 60/2 = 30 degrees.
- Since angle APB is the sum of angle PAB and angle PBA, we can calculate it as:
angle APB = angle PAB + angle PBA = 50 + 30 = 80 degrees.
Answer:
The measure of angle APB is 80 degrees.
- Angle C = 100 degrees
- Angle D = 60 degrees
Objective:
To find the measure of angle APB
Approach:
1. Draw the diagram and label the given angles.
2. Use the properties of angles formed by intersecting lines to find the measure of angle APB.
Diagram:
```
A
/\
/ \
C / \ D
/______\
B P
```
Solution:
Step 1: Draw the diagram and label the given angles.
Step 2: Use the properties of angles formed by intersecting lines to find the measure of angle APB.
- The bisectors of angle A and angle B meet at point P. This means that angle APB is divided into two equal angles, let's call them angle PAB and angle PBA.
- Since the bisectors divide the angles into two equal parts, angle PAB is half of angle C and angle PBA is half of angle D.
- Therefore, angle PAB = 100/2 = 50 degrees and angle PBA = 60/2 = 30 degrees.
- Since angle APB is the sum of angle PAB and angle PBA, we can calculate it as:
angle APB = angle PAB + angle PBA = 50 + 30 = 80 degrees.
Answer:
The measure of angle APB is 80 degrees.
Community Answer
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In the adjacent figure , the bisectors of angle A and angle B meet In a point P. If angle C = 100 degree and angle D = 60 degree, find the measure of angle APB?
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In the adjacent figure , the bisectors of angle A and angle B meet In a point P. If angle C = 100 degree and angle D = 60 degree, 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 the adjacent figure , the bisectors of angle A and angle B meet In a point P. If angle C = 100 degree and angle D = 60 degree, 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 the adjacent figure , the bisectors of angle A and angle B meet In a point P. If angle C = 100 degree and angle D = 60 degree, find the measure of angle APB?.
In the adjacent figure , the bisectors of angle A and angle B meet In a point P. If angle C = 100 degree and angle D = 60 degree, 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 the adjacent figure , the bisectors of angle A and angle B meet In a point P. If angle C = 100 degree and angle D = 60 degree, 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 the adjacent figure , the bisectors of angle A and angle B meet In a point P. If angle C = 100 degree and angle D = 60 degree, find the measure of angle APB?.
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