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17 Geometry question: Use an algebraic equation to find the measurement of each angle that is represented in terms of X

17 Geometry question: Use an algebraic equation to find the measurement of each angle-example-1
User SergkeiM
by
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1 Answer

20 votes
20 votes

Answer:

2x + 30° = 40°

4x + 30° = 50°

Explanation:

2x + 30° and 4x + 30° are complementary angles.

Complementary angles sum up to give 90°.

Therefore,

2x + 30° + 4x + 30° = 90°

Add like terms

6x + 60 = 90

6x = 90 - 60

6x = 30

6x/6 = 30/6

x = 5

✔️2x + 30°

Plug in the value of x

2(5) + 30

10 + 30

= 40°

✔️4x + 30°

4(5) + 30°

20 + 30

= 50°

User William Roberts
by
3.0k points