Question

Drawing triangles quiz part 2

Answer 1

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A line segment ACD is shown with triangle ABC drawn so that AC is the base of the triangle. Angle BAC is labeled with 72 degree sign, and angle BCD is labeled with 113 degree sign.

Write a list of steps that are needed to find the measure of
∠
B
.

Answer 2

1. Draw a triangle with two sides of equal length and one side that is longer than the other two.

Answer:

\begin{tikzpicture}
\draw (0,0) -- (2,0) -- (1,2) -- cycle;
\end{tikzpicture}

Answer 3

To find the measure of ∠B, use the fact that the sum of the angles in a triangle is 180 degrees. Follow these steps:

1. Draw triangle ABC with base AC and line segment CD intersecting AC at point B.
2. Label angle BAC as 72 degrees and angle BCD as 113 degrees.
3. Find the measure of angle ACD by subtracting 72 and 113 from 180 degrees: 180 - 72 - 113 = 5 degrees.
4. Use the fact that the angles in a straight line add up to 180 degrees to find the measure of angle B: 180 - 5 - 72 = 103 degrees.
5. Therefore, ∠B measures 103 degrees.