Question

if an angle is 30 degree more than one half of its complement find the measure of the angle​

Answer 1

Answer:

Measure of unknown angle is 50°

Step-by-step explanation:

Let the unknown angle be x

According to the question:

Relation:

x = 30° + $\frac{1}{2}$ (90 - x)

By Solving

x - 30° = $\frac{1}{2}$ (90° -x)

2(x - 30) = 90° - x

2x - 60° = 90° - x

3x = 90° + 60°

x = 50°

Answer: Measure of unknown angle is 50°

$\rule{200}{1}$

★Complement of an angle "$\theta$" is 90 - x