Question

Two parallel lines are crossed by a transversal. Parallel lines r and s are cut by transversal q. On line s where it intersects with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees. What is the value of d? d = 55 d = 75 d = 125 d = 155

Answer 1

Answer:

The value of d is 55

Step-by-step explanation:

Given:

r and s are two parallel lines

q is the Transversal

uppercase left angle is 125 degrees

The bottom right angle is d degrees

To Find:

The value of d = ?

Solution:

We know that the sum of supplementary angles is $180^{\circ}$

Refer the diagram below,

Now

$125^{\circ} +( x )= 180^{\circ}$

$( x )= 180^{\circ}-125^{\circ}$

$( x )= 55^{\circ}$

Also we know that

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

So d  will also be $55^{\circ}$

Answer 2

Answer:

d=125

Step-by-step explanation

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