Question

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.

Answer 1

c

Explanation:

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Answer 2

The sum of angles in a triangle add up to 180°, therefore to find the value of x we proceed as follows;
sum of angles in ΔABC will be:
48+(6x-28)+2x=180
putting like terms together we get
48-28+6x+2x=180
20+8x=180
8x=180-20
8x=160
x=160/8
x=20°
hence:
∠B=(6x-28)=6×20-28=92°
∠C=2x=2×20=40°