Find an angle which is 5° more than four times its supplement.

Question

KnowledgeBoat · Accepted Answer

Let the angle be x. Its supplement is (180° - x). The problem states that the angle is 5° more than four times its supplement. ∴ x = 4(180° - x) + 5 ⇒ x = 720° - 4x + 5 ⇒ x = 725° - 4x ⇒ x + 4x = 725° ⇒ 5x = 725° ⇒ x = ⇒ x = 145° Hence, the required angle measures 145°.

Mathematics

Find an angle which is 5° more than four times its supplement.

Lines & Angles

Related Questions

Find an angle which is two-thirds of its complement.

Find an angle which is one-fifth of its supplement.

In the given figure, AOB is a straight line. Find the measure of ∠AOC.

In the given figure, XOY is a straight line. Find
(i) ∠XOP
(ii) ∠YOP

Mathematics

Find an angle which is 5° more than four times its supplement.

Lines & Angles

Related Questions

Find an angle which is two-thirds of its complement.

Find an angle which is one-fifth of its supplement.

In the given figure, AOB is a straight line. Find the measure of ∠AOC.

In the given figure, XOY is a straight line. Find(i) ∠XOP(ii) ∠YOP

In the given figure, XOY is a straight line. Find
(i) ∠XOP
(ii) ∠YOP