Question

PLEASE ANSWER ASAP!

Answer 1

x = 56°

Solution:

Part A:

Given data:

2x and 68° are adjacent angles in a straight line and their measures have sum of 180°.

Part B:

Sum of the adjacent angles in the straight line is 180°.

2x + 68° = 180°

Subtract 68° from 180°, we get

⇒ 2x = 112°

Divide by 2 on both sides, we get

⇒ x = 56°

The value of x is 56°.

Part C:

By part A and part B,

2x° + 68° = 2(56°) + 68°

               = 112° + 68°

               = 180°

2x° + 68° = 180°

Hence proved.

Answer 2

x = 56°

Solution:

Part A:

Given data:

2x and 68° are adjacent angles in a straight line and their measures have sum of 180°.

Part B:

Sum of the adjacent angles in the straight line is 180°.

2x + 68° = 180°

Subtract 68° from 180°, we get

⇒ 2x = 112°

Divide by 2 on both sides, we get

⇒ x = 56°

The value of x is 56°.

Part C:

By part A and part B,

2x° + 68° = 2(56°) + 68°

              = 112° + 68°

              = 180°

2x° + 68° = 180°