Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
1. Lines and Segments That Intersect Circles
Continue to next subchapter

Exercise 49 Page 536

The sum of the given angles is equal to m∠ JKM.

m∠ JKM=43^(∘)

Practice makes perfect

We have been asked to find the measure of angle JKM. The expression m∠ JKM tells us to find the measure of the angle between rays JK and MK. Let's start by identifying the three angles.

The sum of m∠ JKL and m∠ LKM is equal to m∠ JKM. m∠ JKL+ m∠ LKM= m∠ JKM It is also given that m∠ JKL = 15^(∘) and m∠ LKM = 28^(∘). Let's substitute these into the equation.
m∠ JKL+ m∠ LKM= m∠ JKM
15^(∘)+ 28^(∘)= m∠ JKM
43^(∘) = m∠ JKM
m∠ JKM = 43^(∘)
Therefore, the measure m∠ JKM is equal to 43^(∘).