Question

if (x+10°) and (x+20°) are complimentry angle find the value of x and measure of angles​

Answer 1

Answer:

x = 30°

Step-by-step explanation:

Complementary angles are a pair of angles that add upto 90°

Answer 2

Answer:

$\sf{The \ value \ of \ x \ is \ 30^\circ \ and \ angles}$

$\sf{are \ 40^\circ \ and \ 50^\circ \ respectively.}$

Given:

• If (x+10°) and (x+20°) are complimentry angle find the value of x and measure of angles.

To find:

• The value of x and the measure of angles.

Solution:

$\sf{Sum \ of \ complementary \ angles \ is \ 90^\circ}$

$\sf{\leadsto{(x+10)+(x+20)=90}}$

$\sf{\leadsto{2x+30=90}}$

$\sf{\leadsto{2x=90-30}}$

$\sf{\leadsto{2x=60}}$

$\sf{\leadsto{x=\dfrac{60}{2}}}$

$\boxed{\sf{\leadsto{x=30^\circ}}}$

$\sf{Angles \ are:}$

$\sf{\longmapsto{x+10^\circ=30^\circ+10^\circ=40^\circ}}$

$\sf{\longmapsto{x+20^\circ=30^\circ+20^\circ=50^\circ}}$

$\sf\purple{\tt{\therefore{The \ value \ of \ x \ is \ 30^\circ \ and \ angles}}}$

$\sf\purple{\tt{are \ 40^\circ \ and \ 50^\circ \ respectively.}}$