Question

7. The sum of two angles of a triangle is 116° and their difference is 24º.
Find the measure of each angle of the triangle.​

Answer 1

Answer: 95 , 71 and 14

Step-by-step explanation:x + y = 166

X-y = 24

So subtracting the equations we get

2x = 190

X = 95

So as x + y = 166

95+ y = 166

Y = 71

Then third angle = 180 - 166

= 14

Hope it helped

Answer 2

Answer:

Step1: let the smaller angle be x and the larger angle automatically becomes x+ 24.

Step2: Now the sum is going to be x+x+24=116

Let's solve this.

x+x+24=116

or 2x=116-24

so 2x=92

x=92÷2=46

Now the smaller angle is 46 and the larger one is 70.

Hope it helps