197k views
2 votes
∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*

2 Answers

2 votes

Answer:

m∠ A=78°

m∠ B=12°

Explanation:

∠A+∠B=90°

15x+3+5x-13=90

20x-10=90

20x=100

x=5

∠A=(15×5+3)°=(75+3)°=78°

∠B=(5×5-13)°=(25-13)°=12°

User Johannes Wiesner
by
3.8k points
5 votes


m < a =</em></strong><strong><em>7</em></strong><strong><em>8</em></strong><strong><em> \\ m < b =</em></strong><strong><em>1</em></strong><strong><em>2</em></strong><strong><em>\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = </em></strong><strong><em>1</em></strong><strong><em>0</em></strong><strong><em>0</em></strong><strong><em> \\ or \: x = (</em></strong><strong><em>1</em></strong><strong><em>0</em></strong><strong><em>0</em></strong><strong><em>)/(20) \\ x = </em></strong><strong><em>5</em></strong><strong><em> \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 * </em></strong><strong><em>5</em></strong><strong><em>+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = </em></strong><strong><em>7</em></strong><strong><em>8</em></strong><strong><em>\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 * </em></strong><strong><em>5</em></strong><strong><em>0</em></strong><strong><em>- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = </em></strong><strong><em>1</em></strong><strong><em>2</em></strong><strong><em>\\ hope \: it \: helps

User Louis Singer
by
3.6k points