Question

In the given figure ABCD, find the value of x​

Answer 1

Answer:

• 140° is the measure of angle x.

Step-by-step explanation:

Given :

• Three angles in a quadrilateral respectively.
• ∠C = 70° ; ∠B = 80° ; ∠A = 70°

To find :

• ∠x

Solution :

• Sum of all the exterior angles in a quadrilateral is equal to 360°.

∠A + ∠B + ∠C + ∠D = 360°

⇒ 70° + 80° + 70° + x = 360°

⇒ 140° + 80° + x = 360°

⇒ 220° + x = 360°

∴ x = 140°

∴ The measure of x (∠D) is 140°.

Answer 2

Answer:

The value of x is 140°

Step-by-step explanation:

110+100+110+p=360°

p=360°-320°

p= 40°

angle x = 180°-40°

= 140°