Parallel Lines Cut by a Transversal Finding the Value of X

In the figure given below, let the lines l₁ and l₂ be parallel and t is transversal. To find the value of x, which of the following is the first step ?

• (3x + 20)° - 2x° = 180°

• (3x + 20)° = 2x°

• (3x + 20)° + 2x° = 180°

• (3x + 20)° + 2x° = 360°

In the figure given below, let the lines l₁ and l₂ be parallel and t is transversal. Find the value of x.

Given the map below, which two roads must be parallel?

• Road P and Road Q

• Road X and Road Y

• Road X and Road Q

• Road P and Road R

Def of Supplementary Angles

• Def of Supplementary Angles

• Def of Linear Pair

• Linear Pair Postulate

• Congruent Supplements Thm

Find the value of x

Line PQ , RS and LK intersect as shown in the figure below.

PQ//RS, m∠LMQ=5x-6, m∠MYR=3x-2, find m∠ RYK. Round your answer to 1 decimal place.

answer_______ degrees ( please DON'T INCLUDE UNITS, JUST TYPE THE NUMERICAL VALUE ROUNDED TO 1 DECIMAL POINT)

• AB=CD , SO C IS THE MID POINT OF LINE AD

Answer explanation

Alternate interior angles are congruent, angles on a straight line add up to 180 degrees, angles in a triangle add up to 180 degrees

What value of x will make m parallel to n?

• 113

• 166

• 19