Register
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
134k views
3 votes
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
← Prev Question Next Question →

Related questions

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital camera and a video camera. How much does he
Link Copied!