Question

Find x in the following figure.​

Answer 1

Answer:

80⁰

Step-by-step explanation:

Sum of the exterior angles of any polygon is 360⁰.

Exterior Angles A + B + C + D + E = 360⁰

/_1 + 40⁰ + 60⁰+ x + 90⁰ = 360⁰

/_1 = 180⁰ - 90⁰ = 90⁰

( Exterior & Interior angles at A form a LINEAR PAIR)

90⁰+40⁰+60⁰+x+ 90⁰ = 360⁰

x + 280⁰ = 360⁰

x = 360⁰ - 280⁰

x = 80⁰