Question

if (a+10)°and (a+20)°are supplementary angel find​

Answer 1

Answer:

a+10+a+20 =180,2a=180-30

a=75

Answer 2

Correct Question :-

If (a+10)°and (a+20)°are supplementary angle. Find the measure of the angles.

Answer :-

Given that,

$\sf{ \implies \:a + 10+ a + 20 = 180}$

$\sf{\implies \: 2a + 20 + 10 = 180}$

$\sf{\implies \: 2a + 30 = 180}$

$\sf{\implies \: 2a = 180 - 30}$

$\sf{\implies \: 2a = 150}$

$\sf{\implies \: a = \dfrac{150}{2}}$

$\sf{\implies\underline{ \boxed{\sf{a = 75}}}}$

Now, the angles are :-

The measure of ( a + 10 )°

$\implies \sf{a + 10}$

$\implies \sf{75 + 10} \\ \implies \sf{{85}\degree} \: \: \: \: \: \: \: \: \:$

The measure of ( a + 30 )°

$\implies \sf{a + 30} \\ \implies \sf{ 75 + 20} \\ \implies \sf{{95} \degree} \: \: \: \: \: \: \: \:$

${ \mathrm{Now,Verification}}$

$\tt{ \longrightarrow \: 85 + 95 = 180} \\ \tt{ \longrightarrow \: 180 = 180 \: \: \: \: \: \: \: \: } \\ \\ \sf{L.H.S = R.H.S} \: \: \: \: \: \: \: \: \\ \sf{Hence,Verified!} \: \: \: \: \: \: \:$