59.8k views
1 vote
If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1.

If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1.-example-1
User Andy Lobel
by
3.5k points

2 Answers

5 votes

I hope it will help you.

If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1.-example-1
User Viacheslav Zhukov
by
3.2k points
4 votes

Answer:

x = 9

Explanation:

angle <1 and angle <2 is complementary and their sum is 90 degrees

3x + 5x + 18 = 90 add like terms

8x + 18 = 90 subtract 18 from both sides

8x = 72 divide both sides by 8

x = 9 to find the measure of angle <1 replace x with the value we found

User John Caron
by
3.4k points