In the figure given- what is the value of -t- - 5-10-15-20-

The correct option is C 15^∘The lines PQ, RS and UV intersect each other at the point O. nbsp; ∴∠ POU = ∠ VOQ =5t° [vertically opposite angles] Also on t ...

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Standard VII

Mathematics

Linear Pair of Angles

In the figure...

Question

In the figure given, what is the value of 't' ?

5^{\circ}

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10^{\circ}

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15^{\circ}

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20^{\circ}

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Solution

The correct option is C $15^{\circ}$
The lines PQ, RS and UV intersect each other at the point O.
$∴ ∠ P O U = ∠ V O Q = 5 t ° [vertically opposite angles]$

Also on the straight line RS, we have
$∠ R O V + ∠ V O Q + ∠ S O Q = 180^{\circ} [angles on a straight line]$
$\Rightarrow 5 t + 5 t + 2 t = 180^{\circ}$
$\Rightarrow 12 t = 180^{\circ}$
$\Rightarrow t = 15^{\circ}$

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In the figure given, what is the value of 't' ?

The correct option is C 15∘The lines PQ, RS and UV intersect each other at the point O. ∴∠POU=∠VOQ=5t° [vertically opposite angles] Also on the straight line RS, we have ∠ROV+∠VOQ+∠SOQ=180∘ [angles on a straight line] ⇒5t+5t+2t=180∘ ⇒12t=180∘ ⇒t=15∘