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Corresponding Angles Axiom

In the given ...

Question

In the given figure, if CP || DQ, then the measure of x is

(a) 130°

(b) 105°

(c) 175°

(d) 125°

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Solution

Let us extend PC to meet AB at point O.

It is given that .

Thus,and are corresponding angles. Therefore,

Given that, then we have:

Or,

Also, in ΔAOC, exterior angle is equal to the sum of the interior opposite angles, therefore,

Hence, the correct choice is (a).

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Similar questions

In the above trapezium ABCD, AB || CD. If

∠ A = 50^{\circ}

∠ B = 75^{\circ}

∠ C

∠ D .

In the given figure, $P O Q$ is a line, then the value of $x$ is

Q. In the given figure, if BP || CQ and AC = BC, then the measure of x is

(a) 20°

(b) 25°

(c) 30°

(d) 35°

Q. In the given figure, ABCD is parallelogram. If

∠ A = 75^{\circ}

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Question 40

In the given figure, PQ ||ST. Then the value of x + y is

(a) $125^{\circ}$
(b) $135^{\circ}$
(c) $145^{\circ}$
(d) $120^{\circ}$

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