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mixer [17]
3 years ago
7

The measures of the angles in △ABC are given by the expressions in the table.

Mathematics
2 answers:
Kryger [21]3 years ago
5 0

Answer:

Part 1) x=25

Part 2) m\angle B=65^o

Part 3) m\angle C=50^o

Step-by-step explanation:

spayn [35]3 years ago
4 0

Answer:

Part 1) x=25

Part 2) m\angle B=65^o

Part 3) m\angle C=50^o

Step-by-step explanation:

step 1

Find the value of x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle ABC

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

65^o+(3x-10)^o+(2x)^o=180^o

Solve for x

(5x+55)^o=180^o

5x=180-55\\5x=125\\x=25

step 2

Find the measure of angle B

we know that

m\angle B=(3x-10)^o

substitute the value of x

m\angle B=(3(25)-10)=65^o

step 3

Find the measure of angle C

we know that

m\angle C=(2x)^o

substitute the value of x

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