Question

If one angle of an isosceles triangle is 110˚. Find the measure of other two angles.​

Answer 1

$\large \pmb {\sf \orange {✥ \: Question \: ✥}}$

If one angle of an isosceles triangle is 110°, find the measure of other two angles.

$\large \pmb {\sf \orange {✥ \: Solution \: ✥}}$

In an isosceles triangle, angles opposite to equal sides are equal.

Let the two unknown angles be x.

Given that, one of the angle is 110°.

So, by angle sum property :-

$\pink {: \: \implies } \: \sf 110°+ x+x =180°$

$\pink {: \: \implies} \: \sf 110°+2x=180°$

$\pink {: \: \implies} \: \sf 2x=180°-110°$

$\pink {: \: \implies} \: \sf 2x=70°$

$\pink {:\implies} \: \sf x= \cfrac{70 \degree}{2}$

${\pink {:\implies} \: \sf x=35°}$

$\underline {\boxed {\mathfrak {\pink {\therefore \: The \: angles \: are \: 35\degree \: and \:35. \degree}}}}$

$\large \pmb {\sf \orange {✥ \: Verification \:✥ }}$

Substituting and verifying by angle sum property :-

$\pink {:\implies} \: \sf 110°+x+x==180°$

$\pink {:\implies}\:\sf 100\degree+35\degree+35\degree = 180\degree$

$\pink {:\implies}~\sf 110\degree+70\degree=180\degree$

$\pink {:\implies}~\sf 180\degree=180\degree$

$\underline {\boxed {\mathfrak \pink {Hence, \: verified \: !}}}$

_________________________

@Sita05✨

Answer 2

Angle 1 + x + x=180

110+2x=180
2x=180-110
2x=70
x=70/2
x=35
Thankyou

Hope it helps you