Question

6. Each of two equal angles of a quadrilateral is of measure 80° and the other two angles are also equal.
What is the measure of each of these two angles?
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Answer 1

Answer:

Measure of each of the two angles = 100°

Step-by-step explanation:

Let one angle of the pair be x.

Then, 2x+80+80=360 (Angle sum property of Quadrilateral)

⇒2x+160=360

⇒2x=360-160

⇒2x=200

⇒x=200/2 = 100

Answer 2

Answer:

Two angles are already given to be 80° and it is given that the other two angles are equal

We know that the sum of all the angles of a quadrilateral is equal to 360 degree

Hence an equation can be formed taking the equal and unknown angles to be x

The equation formed will be :

80 + 80 + x + x = 360°

160 + 2x = 360

2x = 200

x = 100

So each unknown angle is equal to 100 degree.