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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
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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= ​
º

​ m∠C= ​
º

User Bdoughan
by
8.0k points

1 Answer

3 votes
The sum of angles of a triangle is 180°.

48 +(6x -28) +2x = 180
8x +20 = 180
8x = 160
x = 20

∠B = (6x -28)° = (6*20 -28)° = 92°

∠C = 2x° = 40°

___
x = 20
∠B = 92°
∠C = 40°
User Farid Khafizov
by
8.3k points
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