Question

find the value of angles in the following figures ​

Answer 1

Answer:

2e = 58+18 (exterior angle=Sum of opposite interior angles)

2e = 76

e = 38

Answer 2

$\huge\mathbb{\pink{ANSWER}}$

BY EXTERIOR ANGLE SUM PROPERTY

tex] = (5x + 10) + 58 = 11x + 2 \\ = 5x + 10 + 58 = 11x + 2 \\ = 68 - 2 = 11x - 5x \\ = 66 = 6x \\ = \frac{66}{6} = x \\ 11 = x[/tex]Putting the value of X=11° in equations provided in question$= 5x + 10 \\ = 5(11) + 10 \\ = 55 + 10 \\ = 60 \\ \\ = 11x + 2 \\ = 11(11) + 2 \\ = 121 + 2 \\ = 123$VERIFICATION[tex] = 5x + 10 + 58 = 11x + 2 \\ = 5(11) + 10 + 58 = 11(11) + 2 \\ = 55 + 10 + 58 = 121 + 2 \\ = 123 = 123 [/tex]