Question

If the angles x , x+20⁰ , 2x-10⁰ and 90⁰ have their common vertex O, then find the value of x​

Answer 1

Answer:

here's your answer

Step-by-step explanation:

as we observe that there are 4 sides given for the given object. so we conclude that it is a quadrilateral

so the sum of angles for each quadrilateral is 360° so

x+x+20°+2x-10°+90°=360°

4x+100°=360°

4x=360°-100°

x=260°/4

x=65°

so the given angles are

1) x=65°

2) x+20°=65°+20°=85°

3) 2x-10°=2(65°)-10°=120°

4) 90°

for verification of the quadrilateral

we will add All thE Angles

90°+120°+85°+65°=360°

hence conclusion Is this is a quadrilateral