Question:- What is the measure of A?
Given :-
With respect to the diagram in question
- Angle A = (3x-13)°
- Angle B = (2x+4)°
- Exterior Angle C = 116°
Answer:-
Exterior Angle property
Exterior angle of triangle is equal to sum of two opposite interior angle .
ATQ :-
[tex] \angle{A} + \angle{ B} = ext \angle C \\ putting \: the \: value \\ 3x - 13 + 2x + 4 = 116 \\ 5x - 9 = 116 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = \frac{ \cancel{125} {}^{ \: \: 25} }{ \cancel5} \\ x = 25[/tex]
For Angle A :- 3x-13
[tex] \angle A = 3x-13 \\ \angle A = 3(25)-13 = 75 - 13 \\ \angle A = 62 \degree[/tex]
