Lesson 2
Adjacent Angles
Let’s look at some special pairs of angles.
Problem 1
Angles \(A\) and \(C\) are supplementary. Find the measure of angle \(C\).
![Two angles. Angle A, measure 74 degrees. Angle C, unmarked.](https://cms-im.s3.amazonaws.com/HwMsFcMsuom3uqQCokqTffiL?response-content-disposition=inline%3B%20filename%3D%227-7.7.2.new.PP.02.png%22%3B%20filename%2A%3DUTF-8%27%277-7.7.2.new.PP.02.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T010507Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=26c33e03d8cf02b976ba050cd978fd74c809e20451753887bfa00f16511d1186)
Problem 2
-
List two pairs of angles in square \(CDFG\) that are complementary.
- Name three angles that sum to \(180^\circ\).
![Square C D F G. Point M lies on segment D F. Angle D C M, 27 degrees. Angle D M C, 63 degrees. Angle G M F, 64 degrees. Angle M G F, 26 degrees.](https://cms-im.s3.amazonaws.com/JwGiCKtJgc8jyJJnUrEU6vCn?response-content-disposition=inline%3B%20filename%3D%227-7.7.2.new.PP.01.png%22%3B%20filename%2A%3DUTF-8%27%277-7.7.2.new.PP.01.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T010507Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9e9cc6fcdf69d5c9fa10369b9f398f163aaa32fadfa07883ca32aa8639e50d2f)
Problem 3
Complete the equation with a number that makes the expression on the right side of the equal sign equivalent to the expression on the left side.
\(\displaystyle 5x-2.5 +6x-3 = \underline{\ \ \ \ }(2x-1)\)
Problem 4
Match each table with the equation that represents the same proportional relationship.