ACTIVITY #1
Solve the following word problems below.
1. The measure of one of two supplementary angles is 240 less than five times the measure of the other. Find the measure of the angles.
2. From the given figure at the right, what is the relationship of ∠1 and ∠2?
3. If two angles are both congruent and supplementary, then each is a right angle?
4. ∠x and ∠y are adjacent angles and the sum of their measures is 113. If the measure of ∠x is 7 less than the measure of ∠y, what is the measure of ∠y?
5. What is the supplement of (2x – 50)°?
NONSENSE = REPORT
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Answer:
1.34°,146°
Step-by-step explanation:
5x-24+x=180°
5x+x=180+24
6x=204
x=34°
5x-24
=170-24
=146°
2. ∠1 and ∠2 are supplementary. 90 + m∠2 = 180 Substitute 90 for m∠1. m∠2 = 90 Subtract 90 from each side.
3.If two angles are congruent and supplementary, then each is a right angle.
4. ∠x = y - 7 and ∠y = y
∠x = y - 7 and ∠y = yNow , they have a sum of 113. Thus , we will equate them to 113
∠x = y - 7 and ∠y = yNow , they have a sum of 113. Thus , we will equate them to 113∠x + ∠y = 113
∠x = y - 7 and ∠y = yNow , they have a sum of 113. Thus , we will equate them to 113∠x + ∠y = 113y-7 + y = 113
∠x = y - 7 and ∠y = yNow , they have a sum of 113. Thus , we will equate them to 113∠x + ∠y = 113y-7 + y = 1132y - 7 = 113
∠x = y - 7 and ∠y = yNow , they have a sum of 113. Thus , we will equate them to 113∠x + ∠y = 113y-7 + y = 1132y - 7 = 1132y = 113+7
∠x = y - 7 and ∠y = yNow , they have a sum of 113. Thus , we will equate them to 113∠x + ∠y = 113y-7 + y = 1132y - 7 = 1132y = 113+72y = 120
∠x = y - 7 and ∠y = yNow , they have a sum of 113. Thus , we will equate them to 113∠x + ∠y = 113y-7 + y = 1132y - 7 = 1132y = 113+72y = 120y = 60
5. 2x-50=130-2x=!