Linear pair property

Asked by maham237 @ 20/02/2021 in Mathematics viewed by 382 People

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.

Answered by maham237 @ 20/02/2021

Linear pairs are adjacent angles that are supplementary.
Their measures add to 180 deg.
Vertical angles are congruent.

Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed. One angle measures k degrees. You can find all the other measures.
Since one angle measures k degrees, the angle vertical to it also measures k degrees.
Each of the other two angles forms a linear pair with the angle that measures k. That means each angle is supplementary to the angle measuring k degrees and has a measure of (180 - k) degrees.

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

Asked by wiki @ 15/11/2022 in Mathematics viewed by 1508 persons

Linear pair property

Similar Questions

Two angles forming a linear pair are called

Can two acute angles form a linear pair

If a pair of linear equations is consistent

Angles in a linear pair which are not supplementary

Formulas of pair of linear equations in two variables

Complementary angles that do not form a linear pair

Does a pair of right angles form a linear pair

Pqr and sqr form a linear pair

One equation of a pair of dependent linear equation

Overcoming fixed mindset: a step-by-step guide to cultivating a growth mindset

Which of the following would best complete this list?

What had the king decided to do before he saw the spider

Describe the karez in your own words

What is 8 + (x + 5)?

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

All things algebra unit 7 polygons and quadrilaterals answer key

Gina wilson all things algebra 2016 answer key unit 11

Unit 1 geometry basics homework 4 angle addition postulate answers

Unit 6 exponents and exponential functions homework 8 answer key

The manager of a vacation resort believes that the ages

What is 271 403 rounded to the nearest ten thousand

Unit 1 geometry basics homework 3 angle relationships answer key

Homework 2 parallelograms

Why would a prism beat a sphere in a competition?

John wants to send a letter to peter

An artist sells a painting for 20.50 but uses 5.75

Unit 4 congruent triangles homework 1 classifying triangles answer key

Unit 4 congruent triangles homework 2 angles of triangles

Compare the values of the 2s and 5s in 55220