Register

Given AHAN = AJMS. If mZH = (3x + 22), mZA== (3x+22)", m_A = (2x+5)°, and m2J = (5x – 16)°,determine mZM.

Given AHAN = AJMS. If mZH = (3x + 22), mZA== (3x+22)", m_A = (2x+5)°, and m2J = (5x – 16)°,determine mZM.
36.9k views
2 votes
Given AHAN = AJMS. If mZH = (3x + 22), mZA== (3x+22)", m_A = (2x+5)°, and m2J = (5x – 16)°,determine mZM.

Given AHAN = AJMS. If mZH = (3x + 22), mZA== (3x+22)", m_A = (2x+5)°, and m2J-example-1
User Rykener
by
8.2k points

1 Answer

3 votes

\begin{gathered} \Delta HAN\text{ is congruent to }\Delta\text{JMS} \\ \text{Therefore} \\ m\angle H=m\angle j=(5x-16)=(3x+22) \\ m\angle A=m\angle M=(2x+6) \\ m\angle M=? \\ m\angle H=m\angle J \\ 5x-16=3x+22 \\ 5x-3x=22+16 \\ 2x=38 \\ x=(38)/(2) \\ x=19 \\ \\ m\angle M=2(19)+6=38+6=44^(\circ) \end{gathered}

User Dan Head
by
7.9k points
← Prev Question Next Question →

Related questions

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
Link Copied!