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MAVERICK [17]
3 years ago
10

Find the measure of the missing angles.

Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

1=62.5

2=62.5

3=55

4=75

5=50

Step-by-step explanation:

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Since these slopes are negative reciprocals, we know that they are perpendicular.

This means we can use the formula A=\frac{1}{2}bh, where b is the base (XY) and h is the height (XZ).

  • Note these are interchangeable.

Using the distance formula,

XY=\sqrt{(3-1)^{2}+(-1-1)^{2}}=2\sqrt{2}\\XZ=\sqrt{(4-1)^{2}+(4-1)^{2}}=3\sqrt{2}

This means the area is \frac{1}{2}(2\sqrt{2})(3\sqrt{2})=\boxed{6}

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