Question

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________

Answer 1

`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`