Question

find the valus of variable from the figure​

Answer 1

Step-by-step explanation:

180-72 = 108° liner pair

Sum of all angles :

➡ 5x+4x+108 = 108

➡ 9x + 108 = 180

➡ 9x = 180 - 108

➡ 9x = 72

➡ x = 72/9

➡ x = 8

therefore,

∠ CAB = 5x = 40°

∠ ABC = 4x = 32

∠ ACB = 108°

Answer 2

SolutioN :-

As we know Sum of two interior angle of a triangle is equal to opposite exterior angle

$\longrightarrow \sf4x + 5x = 72 \\ \\ \longrightarrow \sf9x = 72 \\ \\ \longrightarrow \sf x = \frac{72}{9} \\ \\ \longrightarrow \boxed{\sf x = 8}$

Therefore

$\implies \bf \angle A = 5x = 5 \times 8 = 40 \degree \\ \\ \implies \bf\angle B = 4x = 4 \times 8 = 32 \degree$