Honors Geometry Companion Book, Volume 1

4.2.5 Isosceles and Equilateral Triangles - Worksheet

Example 1: 1.  To find the distance QR across a river, a surveyor locates three points Q , R , and S . QS = 41 m, and m ∠ S = 35°. The measure of exterior ∠ PQS = 70°. Draw a diagram and explain how you can find QR.

Example 2: Find each angle measure. 2. m ∠ ECD E D C

3. m ∠ K J

K

L 82°

31°

A

B

4. m ∠ X

5. m ∠ A

A

4 x °

2 x °

C

B

Example 3: Find each value. 6. y

7. x

R

S

M

12 y °

(10 x + 20)°

L

T

N

244

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