Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Find the angle, if the measure of an angle is four times the measure of its supplementary angle.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

36^{o}, 144^{o}

40^{o}, 160^{o}

18^{o}, 72^{o}

50^{o}, 200^{o}

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given that, the measure of an angle is four times the measure of its supplementary angle.
Let the measure of one angle be

x

,
Then the measure of its supplementary angle will be

(180^{o} - x)

.
From the given condition,

⟹ x = 4 (180^{o} - x)

⟹ x = 4 \times 180^{o} - 4 x

⟹ 5 x = 4 \times 180^{o}

⟹ x = 4 \times 36^{o}

= 144^{o}

Another angle is 4times of the supplementary angle.

⟹ 4 x = 144^{o}

{x = 36}^{o}

The angles are

36^{\circ}

144^{\circ}

.
Therefore, option 1 is correct.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE