Question

9] In triangle ABC, angle A is 35degree, angle B is 35degree, what is the measure of angle C? options are 1. 30° 2. 20° 3. 110°. ​

Answer 1

Given : In △ABC, ∠A = 35° and ∠B = 35°.

To Find : The measure of ∠C = ?

ㅤ▬▬▬▬▬▬▬▬▬▬▬▬

❍ Let us assume, that the measure of ∠C is x°.

As we know,

$\footnotesize\pink\bigstar \: {\fbox{\bf{Sum \: of \: all \: angles \: of \: a \: triangle = 180°}}} \: \pink\bigstar$

$\hookrightarrow \: \sf{35° + 35° + x° = 180°}$

$\hookrightarrow \: \sf{70° + x° = 180°}$

$\hookrightarrow \: \sf{x° = 180° - 70°}$

$\hookrightarrow \: \sf{x° = 110°}$

Therefore, ∠C = 110°.

$\underline{\mathfrak{Hence, \: option \: (c) \: 110° \; is \: correct.}} \: \checkmark$