Question

2 angles of a quadrilaterals are 36°and 72°and other 2 anglesare in the ratio 3:4 find the measure of these2 angles​

Answer 1

Answer:

108° and 144°

Step-by-step explanation:

Given :---------------

Let is assume a quadrilateral ABCD and take angle A=36°

and angle B=72°.

We know that sum of all angles in a quadrilateral=360°.

Ratio of angle C and angle D=3:4

Let angle C be 3x and angle D be 4x.

Proof :------------------

Angle A+ Angle B+ Angle C+ Angle D = 360°

36°+72°+3x+4x = 360° (On substituting values from given)

108°+7x = 360°

7x = 360°-108°

7x = 252°

x = 252°/7

x = 36°

Now,

Angle C = 3x = 3(36°) = 108°

Angle D = 4x = 4(36°) = 144°

Therefore, the other two angles of the quadrilateral are 108° and 144°.

Hope it helps you.

Good Luck.