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

Answer:

$A = 19.4$

$B = 77.6$

$C =83$

Step-by-step 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

$A = 194/10$

$A = 19.4$

$B = 4A$

$B = 4 * 19.4$

$B = 77.6$

$C = 5A -14$

$C =5 * 19.4 - 14$

$C =83$