Question

In any triangle the angles add up to 180. i triangle abc angle a is twice as large as angle b is 4 degrees larger than angle

Answer 1

A + b + c = 180

a = 2b

b = c + 4

Substitute the b equation into the a equation

a = 2(c + 4)

a = 2c + 8

Substitute equations a and b into the first equation

2c + 8 + c + 4 + c = 180

4c = 168

c = 42

Find the other angles using c

b = 42 + 4

b = 46

a = 2(42) + 8

a = 92

Therefore angle a is 92 degrees, angle b is 46 degrees, and angle c is 42 degrees.