Question

If the angles (2x-10) and (x-5) are complementary angles, find x.

Answer 1

The value of $\bold{x \text { is } 35^{\circ}}.$

To find:

Value of x = ?  

Solution:

Given: Angles (2x-10) and (x-5) are complementary angles.

Complementary angles are those angles when added together, their sum is 90°. These angles together add up to a right angle.

Hence, if Angles (2x-10) and (x-5) are complementary angles, we can say that  

$(2 x-10)+(x-5)=90^{\circ}$

$2 \mathrm{x}-10+\mathrm{x}-5=90^{\circ}$

$3 x-15=90^{\circ}$

$3 \mathrm{x}=90^{\circ}+15$

$3 \mathrm{x}=105^{\circ}$

$\bold{x=35^{\circ}}$

Answer 2

Answer:

$The \: value \: of \: x = 35\degree$

Step-by-step explanation:

Given (2x-10) and (x-5) are complementary angles.

/* Complementary angles:

Sum of any two angles are equal to 90° is called complementary angles .*/

Now,

(2x-10)+(x-5)=90°

=> 3x-15=90

=> 3x = 90+15

=> 3x = 105

$\implies x =\frac{105}{3}$

$\implies x = 35$

Therefore,

$The \: value \: of \: x = 35\degree$

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