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Find the value of x for which the angles {(2x-5)}^{o} and {(x-

Question

Find the value of $x$ for which the angles $(2 x - 5)^{o}$ and $(x - 10)^{o}$ are the complementary angles.

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Find the value of

x

for which the angles

(2 x - 5)^{o}

and

(x - 10)^{o}

are the complementary angles.

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

It is given that

(2 x - 5)^{o}

and

(x - 10)^{o}

are the complementary angles.

We know that, if two angles are complementary, then their sum is

9 0^{o}

Then,

(2 x - 5)^{o} + (x - 10)^{o} = 90^{o}

⟹

2 x - 5^{o} + x - 10^{o} = 90^{o}

⟹

3 x - 15^{o} = 90^{o}

⟹

3 x = 15^{o} + 90^{o}

⟹

3 x = 105^{o}

⟹

x = \frac{105}{3}

⟹

x = 35^{o}

Therefore, the value of

x

for which the angles

(2 x - 5)^{o}

and

(x - 10)^{o}

are the complementary angles is

35^{o}

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Question Text	Find the value of $x$ for which the angles $(2 x - 5)^{o}$ and $(x - 10)^{o}$ are the complementary angles.
Answer Type	Text solution:1
Upvotes	150