Question

in the given figure, find the angle measure x.

Answer 1

Hey

Here is your answer,

ADC = 180-50
= 130°
DAB = 180-115
= 65°
DCB = 90°
CBA = 360°-(130+65+90)
= 360-285
= 75°
X = 180-75
= 105°

Hope it helps you!

Answer 2

Concept:

The sum of all exterior angles is equal to 360°.

Given:

A quadrilateral is given with the exterior angles

∠A = 115°

∠B = x°

∠C = 90°

∠D = 50°

Find:

The measure of the angle x.

Solution:

We know that sum of all exterior angles is equal to 360°.

So, we can write

∠A + ∠B + ∠C + ∠D = 360°

Now, put the values of ∠A = 115°, ∠B = x°, ∠C = 90° and ∠D = 50° in above equation

115° + x° + 90° + 50° = 360°

255° + x° = 360°

x° = 360° - 255°

x° = 105°

Hence, the angle measure x is equal to 105°.

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