gaylordmccree
Answered

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= ​

Verified Answer :

baabaagreysheep

You first have to find the value of x, which you can do by creating an equation as you know that all angles in a triangle add up to 180°:
6x - 28 + 48 + 2x = 180
8x + 20 = 180
- 20
8x = 160
÷ 8
x = 20
Now you can substitute it in:
Angle B = (6 ×20) - 28 = 120 - 28 = 92°
Angle C = 2 × 20 = 40°
I hope this helps!

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° .


For more information about Triangle click the link given below.

brainly.com/question/2773823


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