1

Problem

If three angles 2x, x, and x together form a straight angle, find the angles.

2

Step

Given that straight angles are

2x , x, and x.

3

Step

Straight angles = 180°

2x + x + x = 180° (given straight angle )

4

Step

Combine like terms:

4x = 180°

5

Step

Now, solve for x:

x = \$(180°)/4\$

x = \$45°\$

6

Step

Substitute the x value in angle 2x

\$2 \times 45°\$ = 90°

7

Solution

There are three angles 90°, 45°, and 45°.

8

Sumup

Please summarize steps

Choices

9

Choice-A

These angles do not add up to 180° (45 + 45 + 30 = 120)

Wrong 45°, 45°, 30°

10

Choice-B

This is the correct answer. These angles add up to 180° and fit the given conditions.

Correct 90°, 45°, 45°

11

Choice-C

These angles do not add up to 180° (45 + 45 + 70 = 160)

Wrong 45°, 45°, 70°

12

Choice-D

These angles do not add up to 180° (45 + 35 + 30 = 110)

Wrong 45°, 35°, 30°

13

Answer

Option

B

14

Sumup

Please summarize choices