Two complementary angles are such that twice the measure of the one is equal to three times the measure of the other. The larger of the two measure
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Answer:
Step-by-step explanation:
- Two complementary angles are such that twice the measure of the one is equal to three times the measure of the other.
- We know that complementary angles are the two angles whose sum of measures is .
- Let, the two complementary angles be and respectively.
- According to given condition, the equation of measures of angles becomes,
∴
∴
∴
∴
∴
- ∴ The two complementary angles are and .
- ∴ The larger angle of the two angles is .
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Given,
The two complementary angles such that twice the measure of one is equal to thrice the measure of other.
The angles are said to be complementary, the sum of their angles should be .
Let the two angles be and
The given condition is
Move from RHS to LHS
We get,
One of the complementary angles is
The other angle is
The other complementary angle is
The two complementary angles are
Therefore, the largest angle among the two angles is
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