Question

113. In the following figure, the value of x is##please explain step by step__!
(1) 55°
(2) 60°
(3) 65°
(4) 70°​

Answer 1

Answer:

In a Pentagon, sum of all interior angles is 540°

here,

angle 1 is 115°

angle 2 + 80° =180°(straight line ), so angle 2 is 180-80=100°

angle 3 is 90° which is given

angle 4 +65°=180° ( straight line),so angle 4 =180°-65°=115°

and last....

angle 5 +x = 180°(straight line)

Now...we came to know that..

angle (1+2+3+4+5)=540°

=》115°+100°+115°+90°+ angle5=540°

=》420°+angle 5 =540° =》angle 5=540°-420= 120°

as mentioned above, angle 5+x =180°

=》x = 180°-120=60°

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