Question

What is the measure of A??

Answer 1

Explanation:

Answer 2

Question:- What is the measure of A?

Given :-

With respect to the diagram in question

1. Angle A = (3x-13)°
2. Angle B = (2x+4)°
3. Exterior Angle C = 116°

Answer:-

Exterior Angle property

Exterior angle of triangle is equal to sum of two opposite interior angle .

ATQ :-

`\angle{A} + \angle{ B} = ext \angle C \\ putting \: the \: value \\ 3x - 13 + 2x + 4 = 116 \\ 5x - 9 = 116 \\ 5x = 125 \\ x = (125)/(5) \\ x = \frac{ \cancel{125} {}^( \: \: 25) }{ \cancel5} \\ x = 25`

For Angle A :- 3x-13

`\angle A = 3x-13 \\ \angle A = 3(25)-13 = 75 - 13 \\ \angle A = 62 \degree`