Question

The measure of two complementary angles are (2x - 7)° and (x + 4)°. Find the value of x

Answer 1

sum of complementary angles=90. so 2x-7+x+4=90... 3x-3=90 then 3x=93 means x=93/3=31. Now 1st angle is 2×31-7=62-7=55° and 2nd is 31+4=35°

Answer 2

Given:

The measure of two complementary angles is (2x - 7)° and (x + 4)°.

To find:

The value of x.

Solution:

The value of x is 31.

To answer this question, we will follow the following steps:

As we know that if two angles A and B are complementary angles then their sum will be equal to 90°.

This means,

angle A + angle B = 90°

Now,

as given in the question,

The measure of two complementary angles is

(2x - 7)° and (x + 4)°.

So,

$(2x - 7)° + (x + 4)° = 90°$

On solving the above, we get

$3x - 3 = 90$

$3x = 93$

$x = 31$

Hence, the value of x is 31.