If an angle is 30° more than one half of its complement, find the measure of the angle.

Open in App

Solution

Let the measure of the required angle be x°.

Thus its complement becomes

According to the statement, the required angle is 30 more than half of its complementary angle that is; the required angle x becomes,

.

Thus

Taking 2 on left hand side of the equation, we get

Hence, the required angle measures.

Suggest Corrections

Similar questions

Find the measure of an angle which is $30^{\circ}$ more than one half of its complement.

If an angle is 30 degree more than half of its compliment , find the measure of the angle

24^{\circ}

An angle is 20 more than its complement find the measure of it?

Join BYJU'S Learning Program