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Nataliya [291]
3 years ago
14

What is the measure of angle B in degrees?

Mathematics
2 answers:
Kamila [148]3 years ago
8 0

Answer:

119°

Step-by-step explanation:

51+180-112= 119°

------

pashok25 [27]3 years ago
5 0
<h3> ∠ B = 119° ✅</h3><h3><u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:</h3>

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°.

\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘

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