Question

the sum of two angles of a quadrilateral Is 220°.if the other two angles are in the ratio 2:3,find the measure of all the angels

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Answer 1

Step-by-step explanation:

2x=56° & 3x= 84°

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Answer 2

Answer: 56° and 84°.

Explanation: We know that,

Sum of all angles of a Quadrilateral = 360°.

Given, Sum of two angles = 220°

Therefore, sum of the other two angles = (360-220)° = 140°

Let the angles be multiplied by a common multiple x, therefore the angles are 2x and 3x.

2x + 3x = 140°

5x = 140°

x = $\frac{140}{5}$

x = 28°.

Therefore, the measure of other two angles;

2x = 2 (x) = 2 (28) = 56°.

3x = 3 (x) = 3 (28) = 84°.

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