Question

Find the angles of the following angles

Answer 1

Adjacent angles on a straight line add up to 180º

Solve x:

(2x - 10) + (3x + 20) = 180

Remove brackets:

2x - 10 + 3x + 20 = 180

Combine like terms:

5x + 10 = 180

Subtract 10 from both sides:

5x = 170

Divide both sides by 5:

x = 34

Find the angles:

2x - 10 = 2(34) - 10 = 58º

3x + 20 = 3(34) + 20 = 122º

Answer: The angles are 58º and 122º

Answer 2

Answer:

58° and 122°

Step-by-step explanation:

Take linear pair

( 2x - 10 )° + ( 3x + 20 )° = 180°

2x° - 10° + 3x° + 20° = 180°

( 2 + 3 )x° + ( - 10 + 20 )° = 180°

5x° + 10° = 180°

5x° = 180° - 10°

x° = 170°/5°

x° = 34°/1°

angles are : -

( 2 × 34° - 10° )

= 58°

( 3 × 34° + 20° )

= 122°

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