What is the measure of angle B in degrees?

Question

asked Mar 12, 2022 110k views

2 Answers

Che Kofif · Answer 1 · 2022-03-16T06:59:58+0000

We know that,

$\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line}$ = 180°

➡ ∠ C + 112° = 180°

➡ ∠ C = 180° - 112°

➡ ∠ C = 68°

Also,

$\sf\pink{Sum\:of\:angles\:of\:a\:triangle}$ = 180°

⇝ ∠ A + 51° + 68° = 180°

⇝ ∠ A + 119° = 180°

⇝ ∠ A = 180° - 119°

⇝ ∠ A = 61°

Again,

$\sf\blue{Sum\:of\:angles\:on\:a\:straight\:line}$ = 180°

✒ ∠ A + ∠ B = 180°

✒ 61° + ∠ B = 180°

✒ ∠ B = 180° - 61°

✒ ∠ B = 119°

Hence, the measure of angle B is 119°.

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