Question

Find the value of x?
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Answer 1

Answer:

To find the value of x,

Sum of angles on a straight line is 180°

2x + x + 45° = 180°

3x + 45°= 180°

3x= 180°-45°

3x=135°

x = 135°÷3 = 45°

Therefore, x= 45°

2x = 2×45°=90°

x+45°= 45°+45° = 90°

Therefore, 90°+90°=180°

Answer 2

Answer:

1st angle = 90°

2nd angle = 90°

Step-by-Step Explanation:

1st angle = 2x

2nd angle = (x + 45)

Sum = 180° (As they both are supplementary angles)

2x + (x + 45) = 180°

2x + x + 45 = 180°

3x + 45 = 180°

3x = 180° - 45°

3x = 135°

x = 135° ÷ 3

x = 45°

Hence, 1st angle = (x° + 45°)

= (45° + 45°)

= 90°

2nd angle = 2x

= 2 × 45°

= 90°

Hope it helps