SOLUTION: The complement of an angle is 30 less than twice angle. Find the larger angle.

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Question 1013743: The complement of an angle is 30 less than twice angle. Find the larger angle.
Answer by ikleyn(52784) About Me  (Show Source):
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The complement of an angle is 30 less than twice angle. Find the larger angle.
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Let x be the unknown angle of the condition.
Then the complementary angle is 90°-x.

According to the condition,

90 - x = 2x - 30.

Solve it:

90 + 30 = 2x + x,

3x = 120.

Thus one angle is 40°. The other angle is 50°.

Answer. The larger angle is 50°.