Question 1013743
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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°.


<U>Answer</U>. The larger angle is 50°.