Question

what is the measure of the angle if the sum of the angle and half of its complementary angle is 75

Answer 1

$\huge\mathfrak{Solution:}$

Let the angle be x

Complementary angle=90-x

According to question

$x + \frac{90 - x}{2} = 75 \\ x + 45 - \frac{x}{2} = 75 \\ x - \frac{x}{2} = 75 - 45 \\ \frac{2x - x}{2} = 30 \\ \frac{x}{2} = 60 \\ x = 60$

$\huge\boxed{Required\:angle=60°}$

Answer 2

SOLUTION:-

As we know that when the sum of two angles is equal to 90°, it is known as complementary angles.

Let us assum that one angle be x°

then the other angle will be (90-x)°

So, the equation we get is

=) x+ 1/2 of (90-x)= 75

$= > 2x + 90 - \frac{x}{2} = 75 \\ \\ = > 2x + 90 - x = 150 \\ \\ = > x + 90 = 150 \\ \\ = > x = 150 - 90 \\ \\ = > x = 60 \degree$

Since, one angle is 60°

&

other angle will be (90-60)°= 30°

Hope it helps ☺️