MATHEMATICS MIDDLE SCHOOL

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= ​

Answers

Answer 1
Answer:

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
Answer 2
Answer: 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!

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Let me make it clear,


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Answers

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Step-by-step explanation:

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