Question

Triangle ABC
A= (4y + 10)
C= (3x)
B= 75
What is y?

Answer 1

y = 5

Step-by-step explanation:

Given parameters:

Angle A = 4y + 10

Angle B = 75

Angle C = 3x

Unknown:

Value of y = ?

Solution:

The triangle is an isosceles triangle with two equal sides and angles.

Here;

3x = 75

x =
`(75)/(3)` = 25°

In a triangle the sum of angles is 180°, so;

4y + 10 + 75 + 3(25) = 180

4y + 160 = 180

4y = 180 - 160

4y = 20

y = 5