Question

If angle 1 and angle 2 are vertically opposite angles and angle 1 = 7x -15° and angle 2=2x+55° find the value of x

Answer 1

angle- 1 = angle- 2 (vertically opposite angles)

So,
7x -15 = 2x +55
7x -2x =15 +55
5x = 70
x = 35
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Answer 2

Given that:- <1 = <2 (V.O.A)  Then,  <1= 7x-15° <2= 2x+55  Combining both the terms because they are equal.   <1= <2  => 7x-15° = 2x+55°  (When the sides of number or variable changes from one side to another then their sign also change)  => 7x-2x = 55°+15° => 5x = 70° => x = 70°/5  => x = 14°   Be Brainly