Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

[[1]] is the measure of an angle which is five times its complement and is $12 °$ less than twice its supplement.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is 34 °.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

34 °

is the measure of an angle which is five times its complement and is

12 °

less than twice its supplement.
We know,
An angle is five times its complement and is

12 °

less than twice its supplement.
Supplementary angles are those who sum up to

180 °

.
Complementary angles are those who sum up to

90 °

.
Let the measure of the angle be x.
The supplement of x will be

180 ° − x

.
The complement of it will be

90 ° − x .

Using the data given to form an equation,

5 (90 ° − x) = 2 (180 ° − x) − 12 ° 450 ° − 5 x = 360 ° − 2 x − 12 ° 3 x = 102 x = 34 °

Therefore, the measure of an angle whose 5 times complement is

12 °

less than twice its supplement is

34 °

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

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

Take Free Test