Question

Can someone solve then explain the process of solving this?

Answer 1

Angle A = 42

Explanation:

In a triangle angles always add up to 180 :

So 79 + (x+48) + (x+65) = 180

Collect like terms :

2x + 192 = 180

Subtract 192 from both sides :

2x = -12

Divide both sides by 2 :

x = -6

Now angle A = x+48

Angle A = -6+48

Angle A = 42

Hope this helped and have a good day

Answer 2

Explanation:

it is simple - there is a rule you have to burn into your memory for life (together with Pythagoras) :

the sum of all angles in a triangle is always (truly always) 180°.

so,

180 = 79 + (x + 48) + (x + 65)

180 = 79 + x + 48 + x + 65 = 2x + 192

-12 = 2x

x = -6

that means

A = x + 48 = -6 + 48 = 42°

so, the first answer option is correct.

the other angle is x + 65 = -6 + 65 = 59°

and to check

79 + 59 + 42 = 180°

all ok.