Question

if (2x-5)^0 and (x-10)^0 are complementary angles then find the value of x

Answer 1

Here is the answer..

We know that,

Complementary angles measure 90°

Therefore,

According to the question,

[2x - 5°] and [x - 10°] are complementary angles.

$\therefore (2x - 5) +( x - 10) = 90 \\ {}^{} \\ 2x - 5 + x - 10 = 90 \\ \\ 2x + x - 5 - 10 = 90 \\ \\ 3x - 15 = 90 \\ \\ 3x = 90 + 15$

$x = \frac{105}{3} \\ \texttt{x = 35}$

Hence , the value of x is 35°.

I hope my answer helped!!

#BeBrainly!!

Answer 2

Ello!

Two angles are said to be complementary when there sum is equal to 90° ( a right angle ).

Here,

(2x - 5) + (x - 10) = 90°

=> 2x - 5 + x - 10 = 90°

=> 3x - 15 =90°

=> 3x = 90 + 15

=> 3x = 105

=> x = 105 / 3

=> x = 35

$\therefore \: x = 35 \: .$

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