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leva [86]
4 years ago
11

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A 48° B (6x−28)° C (2x)° Find the va

lue of x. Then find the measures of angles B and C. Enter your answers in the boxes. x = ​ m∠B= ​ 48 º ​ m∠C= ​ 12 º
Mathematics
2 answers:
Marrrta [24]4 years ago
5 0

Answer:

Part 1) the value of x is 20\°  

Part 2) m

Part 3) m

Step-by-step explanation:

Part 1)

Find the value of x

we know that

The sum of the internal angles of a triangle must be equal to 180\°

so

In this problem

m

substitute the values

48\°+(6x-28)\°+(2x)\°=180\°

solve for x

8x+20\°=180\°

8x=180\°-20\°

x=160\°/8=20\°  

Part 2) Find the measure of angle B

m

substitute the value of x

m

Part 3) Find the measure of angle C

m

substitute the value of x

m

LiRa [457]4 years ago
4 0

A 48°

B (6x−28)°

C (2x)°


48 + 6x -28 + 2x = 180 degrees


8x = 160 degrees


x = 20


angle B = 6x - 28 = 92


angle C = 2x = 40


Double-Check

Angle A + B + C = 48 + 92 + 40


Angle A + B + C = 180 degrees



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