He 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=

m∠c=

The required measure angles B and C of are 92° and 40° and value of x = 25.

Given,

The measures of the angles in △ABC are 48°,  (6x-28)° , (2x)°.

We have to find,

The value of x Then measures of angles B and C.

According to the question,

The sum of all internal angles in a triangle is always equal to 180°.

48° + 6x − 28° +  2x° = 180

8x + 20 = 180

8x = 180 - 20

 8x = 160

x = 20

The  required value of x = 20.

Then, The required angle are,

6x - 28 = 6(20) - 28 = 92°

And 2x = 2(20) = 40°

The required angles are 92° and 40° .

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14

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step-by-step explanation: