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Studentka2010 [4]
3 years ago
14

A triangle has two angles measuring 69 and 77. Determine the measure of the third angle b

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer:

m\angle B=34\°

Step-by-step explanation:

Given measures of 2 angles of a triangle :

m∠A = 69°

m∠C = 79°

Find m∠B.

We know that sum of angles of a triangle =180°

So, we have

m\angle A+m\angle B+m\angle C=180\°

Substituting the vales of m∠A = 69° and m∠C = 79°

69\°+m\angle B+77\°=180\°

Adding like terms.

m\angle B+146\°=180\°

Subtracting both sides by 146°.

m\angle B+146\°-146\°=180\°-146\°

∴ m\angle B=34\° (Answer)

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