Question

can someone help me?​

Answer 1

Exterior angle = Sum of its interior opposite angles ( exterior angle property )

Which means :-

$7x - 1 + 63 = 14x - 8$

$7x + ( - 1) + 63 = 14x - 8$

$7x + 62 = 14x - 8$

$7x + 62 - 14x = ( - 8)$

$- 7x + 62 = ( - 8)$

$- 7x = - 8 - 62$

$- 7x = ( - 70)$

$x = \frac{ - 70}{ - 7}$

$\color{hotpink} x = 10$

Then :-

1) ∠ 7x - 1

= 7 × 10 - 1

= 70 - 1

= 69°

2) ∠14x - 8

= 14 × 10 - 8

= 140 - 8

= 132°

As the sum of interior opposite angles of this triangle is equivalent to the value of the exterior angle (69+63=132), we can conclude that we have found out the correct value of x .

Therefore , the value of x = 10 .