Question

the measure of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal . find the measure of each angle

Answer 1

Let measure of each angle of a quadrilateral be x.

Measure of two adjacent angles of a quadrilateral are 110 degrees and 50 degrees.

sum of the angles of quadrilateral is 360 degrees

x + x + 110° + 50° = 360°

2x + 160° = 360°

2x = 200°

∴ x = 100° .

Answer 2

Answer:

Their is a mistake in the question. In the question the angles are given 1100 and 500 but the angles are 110 and 50 because their is no angle greater then 360 so this is a common sense that the angles could bot be 1100 and 500.And the answer according to the angles 110 and 50 is 100.

Step-by-step explanation:

Let measure of each angle=x

Acc. to question,

x+x+110+50=360

2x+160=360

2x=360-160

2x=200

x=200/2

x=100

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