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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 value 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

Verified Answer :

wolf1728

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



calculista

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

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