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Byju's Answer
Standard IX
Mathematics
Angles and Types of Angles
Find the meas...
Question
Find the measure of an angle, if seven times its complement is 10° less than three times its supplement.
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Solution
Let the measure of the required angle be
x
°
.
Then, the measure of its complement
=
90
-
x
°
.
And the measure of its supplement
=
180
-
x
°
.
Therefore,
7
90
-
x
=
3
180
-
x
-
10
⇒
630
-
7
x
=
540
-
3
x
-
10
⇒
4
x
=
100
⇒
x
=
25
Hence, the measure of the required angle is
25
°
.
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Q.
Find the measure of an angle, if six times of its complement is
12
∘
less than twice of its supplement
Q.
Find the measure of the angle if 5 times its complement angle is 22 degree less than thrice its supplement .
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