Question

The measure of an angle is 2 times the measure of its supplement. Tina writes an equation and finds the correct measure of each angle. Which shows the equation Tina could have written and the angle measures she could have found? A 2x + x = 90 ; 60°and 30° b (x+2) +x = 90; 44° and 46° c (x+2) + x = 180; 89° and 91° d 2x + x = 180: 60°and 120°

Answer 1

Answer: d.

2x + x = 180: 60°and 120°

Step-by-step explanation:

Let x= one of the supplements.  (smaller)

As per given , measure of second angle = 2x

We know that,

The sum of two supplements = 180 degrees

Then,

smaller angle + larger angle =180°

i.e. x+2x = 180°

3x= 180°

x=60°

then, 2x = 2 (60°) = 120°

hence, the correct option is d.

2x + x = 180: 60°and 120°