Question

The sum an angle and half of its complementary angle is 750. Find the
measure of the angle.

Answer 1

$\huge\mathfrak{Answer:}$

Correct Question:

The sum an angle and half of its complementary angle is 75°.Find the measure of the angle.

Given:

We have been given that the sum of an angle and half of its complementary angle is 750.

To Find:

We need to find the measure of the angle.

Solution:

Let us assume that the angle is x.

We know that a complementary angles ars the angle whose sum is 90°.

Therefore, complementary angle = (90 - x).

According to the question, we have

$\sf{x + \dfrac{(90 - x)}{2} = 75}$

$\implies\sf{ \dfrac{2x + 90 - x}{2} = 75}$

$\implies\sf{x + 90 = 2 \times 75}$

$\implies\sf{x + 90 = 150}$

$\implies\sf{x = 150 - 90}$

$\implies\sf{x = 60}$

∴ One angle is 60° and other angle is (90 - 60) = (90 - 60) = 30°.

Hence, the required angles are 60° and 30°.

Answer 2

Answer:

sorry

Step-by-step explanation: