Question

The measures of two angle of a quadrilateral are 115° and 45° and the other two angles
are equal. Find the measure of each of the equal angles.
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Answer 1

Answer:

Sum of interior angles of a quadilateral is $360^\circ$

Let x be the each equal angle of a quadilateral.

So, $115^\circ + 45^\circ + x + x = 360^\circ\\\Rightarrow  x = 100^\circ$

Thus, measure of each of the equal angles is [tex]100^\circ[\tex]

Step-by-step explanation:

Answer 2

Given that,

Angles are 115 and 45

And remaining two angles are equal..

Let's assume those angles as 'x'

We know that,

Sum of all angles in a quadrilateral is 360°

115+45+x+x = 360

160 + 2x = 360

2x = 360-160

2x = 200

x = 200/2

x = 100

Hence ,measure of remaining two angles are 100°