Question

The measure of two adjacent angles of a quadrilateral are 85° and 115° and the
other two angles are equal. Find the measure of each of equal angles.

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Answer 1

Answer:

Let equal angles be X

2 angles are 85 and 115

by angle sym property

85+115+x+x=360

200+2x=360

2x=360-200

2x=160

x=160/2

x=80

Answer 2

The two angles are 85° and 115°.

And the other two angles are equal.

So let the first angle be x.

Since , the two angles are equal.

Therefore , there sum will be 2x.

Now, by angle sum property of quadrilateral.==> 360°

360 = 85° + 115° + 2x

==> 360° = 200° + 2x

==> 2x = 360° - 200°

==> 2x = 160°

==> x = 80°