Question

Two complementary angle differ by 30° what is the measure of larger angle

Answer 1

Heya !!

This is your answer.....

Let x and y be two angles.

We know that their sum is 90 bcoz they are complementary angles.

So...
x + y = 90. .......(i).

Also... It is given that their difference is 30.

So.....
x - y = 30. .......(ii).

Adding both equations .....

x + y = 90
x - y = 30
----------------
2x = 120.

Hence x = 60 deg.
Other angle = 90- 60 = 30 deg.

Hence the larger angle is of 60 deg.

Hope it helps.