Question

in the given figure, find the measure of angle 1, angle 2 ,
angle 3

Answer 1

Given,

A figure with some of the angles mentioned.

To Find,

The measure of angle 1, angle 2, and angle 3.

Solution,

By observing the figure

Angle 1 and angle TQR lie on a straight line

So,

Angle 1 + angle TQR = 180

Angle 1 = 180-104

Angle 1 = 76

Now,

Angle 3 + angle PRS = 180

Angle 3 = 180 - 136 = 44

Now, using he angle sum property of a triangle

angle 1 + angle 2 + angle 3 = 180

76+44+ angle 1 = 180

angle 1 = 60

Hence, the measure of angle 1 = 76 , angle 2 = 60 angle angle 3 = 44

Answer 2

Given,

A figure with some of the angles mentioned.

To Find,

The measure of angle 1, angle 2, and angle 3.

Solution,

By observing the figure

Angle 1 and ∠TQR lie on a straight line

So,

∠1 + ∠TQR = 180°

∠1 = 180° - 104°

∠1 = 76°

Now,

∠3 + ∠PRS = 180°

∠3 = 180° - 136° = 44°

Now, using the angle sum property of a triangle,

∠1 + ∠2 + ∠3 = 180°

76° + 44° + ∠1 = 180°

∠1 = 60°

Hence, the measure of ∠1 = 76° , ∠2 = 60° and ∠3 = 44°.