An exterior angle of triangle is 80° and the interior opposite angles are in the ratio 1:3. Measure of each interior opposite angle is:
In fig. if x°, y° and z° are exterior angles of ΔABC, then x° + y° + z° is:
The angles of a triangle are in the ratio 2 : 3 : 4. The angles, in order, are :
The angles of a triangle are in the ratio 2:3:4.So, the degree measures of the angles are
The value of x in the given figure is
In ΔABC fig., ∠x + ∠y + ∠z is equal to:
The measure of angle a in the figure below is :
In fig., in ΔABC, AB = AC. The value of x is:
The sum of two angles of a triangle is 116° and their difference is 24°. The measure of each angle of the triangle is
Let us consider the sum of two angles as ∠A+∠B=116∘ and the difference can be written as ∠A−∠B=24o
We know that the sum of all the angles in a triangle is 180o.
So we can write it as
∠A+∠B+∠C=180o
By substituting ∠A+∠B=116o in the above equation
116o + ∠C = 180o
On further calculation
∠C=180o − 116o
By subtraction
∠C=64o
It is given that ∠A−∠B=24o
It can be written as ∠A=24o+∠B
Now by substituting ∠A=24o+∠Bin∠A+∠B=116o
∠A+∠B=116o
24o+∠B+∠B=116o
On further calculation
24o+2∠B=116o
By subtraction
2∠B=116o−24o
2∠B=92o
By division
∠B=292
∠B=46∘
By substituting ∠B=46∘ in ∠A=24∘+∠B
We get
∠A=24o+46o
By addition
∠A=70o
Therefore, ∠A=70o,∠B=46o and ∠C=64o
The three angles of a triangle, one is twice the smallest and another one is thrice the smallest.find the angles
The bisectors of the base angles of an isosceles triangle ABC, with AB = AC, meet at O. If ∠B = ∠C = 50°. What is the measure of angle O?
In a triangle ABC if ∠A = 53° and ∠C = 44° then the value of ∠B is:
Find the measure of angle marked e in the figure below:
If in triangle DEF, the greatest angle is twice the smallest and the third angle is 20 degrees more than the smallest, what are the angles?
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the ____ interior opposite angles.
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