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VashaNatasha [74]
2 years ago
7

Given: Right triangle ABC with altitude Line segment C D

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
4 0

Answer:

✔ a/f

✔ cf

✔ c/b

✔ cf + ec

✔ c

Step-by-step explanation:

just did it on edg

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Solution:

Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.

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Notice that together they make a straight angle.

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From the image

The following pairs form vertical angles

\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}

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One pair of the vertical angles is ∠1 and ∠3

Part B:

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Hence,

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The following pairs are supplementary angles

\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}

Hence,

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∠1 and​ ​ ∠2 ​ ​are complementary angles.
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Angle two would be 180-m<1

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Measurement of angle two is 128 degrees
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