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In triangle ABC, the size of the B is 4 times the size of angle A, and the size of angle C is 14 cel less than 5 times the size of the.

The size of angle a is ____
The size of angle b is____
The size of angle c is________

1 Answer

4 votes

Answer:


A = 19.4


B = 77.6


C =83

Explanation:

Given

By interpreting each line, we have:


B = 4A


C = 5A -14

Required

Solve for A, B and C

In a triangle,


A + B + C = 180

Substitute expressions for B and C


A + 4A + 5A - 14 = 180


A + 4A + 5A = 180+14


10A = 194

Solve for A


A = 194/10


A = 19.4


B = 4A


B = 4 * 19.4


B = 77.6


C = 5A -14


C =5 * 19.4 - 14


C =83

User Crerem
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