Question

Please help me the question is shown above in picture I want the solution of this question and the answer is
angle A = 50°
angle B = 58°
angle C = 72°
The chapter is Triangles of class 9 ​

Answer 1

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Step-by-step explanation:

It is given that ∠A+∠B=108°

…(1)

We know that the sum of all the angles in a triangle is 180°

.

So we can write it as

∠A+∠B+∠C=180°

By substituting ∠A+∠B=108°

in the above equation

108° +∠C=180°

On further calculation

∠C=180°−108°

By subtraction

∠C=72°

It is given that ∠B+∠C=130°

By substituting the value of ∠C

∠B+72°=130°

On further calculation

∠B=130° −72°

By subtraction

B=58°

By substituting ∠B=58°

in equation (1)

So we get

∠A+∠B=108°

∠A+58° =108°

On further calculation

∠A=108° −58°

By subtraction

∠A=50°

Therefore, ∠A=50°

,∠B=58°

and ∠C=72°

.