3. Given: m LMHT = 3x * 10; m ZMAT = 2x - 6
Questions:
• What is the value of x?
How did you solve for x?
What are the measures of the two angles?
What theorem Justifies your answer?
4. Given: AH = 4y - 3, MT= 2y +5
Questions:
What is the value of y?
How did you solve for y?
How long is each diagonal?
What theorem justifies your answer?
Questions:
• What is the value of x?
How did you solve for x?
What are the measures of the two angles?
What theorem Justifies your answer?
4. Given: AH = 4y - 3, MT= 2y +5
Questions:
What is the value of y?
How did you solve for y?
How long is each diagonal?
What theorem justifies your answer?
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Answer:
Since ∠MHT and ∠MAT are opposite angles, then
m∠MHT + m∠MAT = 180
(3x+10) + (2x-5) = 180
3x + 2x + 10 - 5 = 180
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 35
To solve the measures of the two angles, substitute the value of x.
m∠MHT = 3x+10
m∠MHT = 3(35)+10
m∠MHT = 105+10
m∠MHT = 115
m∠MAT = 2x-5
m∠MAT = 2(35)-5
m∠MAT = 70-5
m∠MAT = 65
Step-by-step explanation: