Download 4-2 Worksheet #1 The measure of one of the acute angles in a righ

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Scholarship Geometry
4-2 Worksheet #1
Name ____________________________________
The measure of one of the acute angles in a right triangle is given. What is the measure of
the other acute angle?
1. 20.8°
2. 24
2°
3
3. y°
Find each angle measure.
4. m∠M
5. m∠L
6. m∠C and m∠F
7. m∠S and m∠U
8. In ΔABC, m∠A = 65°, and the measure of an exterior angle at C is 117°. Find m∠B and
m∠BCA.
9. For ΔABC and ΔXYZ, m∠A = m∠X and m∠B = m∠Y. Find the measures of ∠C and ∠Z if
m∠C = 4x + 7 and m∠Z = 3(x + 5).
10. The measures of the angles of a triangle are in the ratio 1:4:7. What are the measures of the
angles?
11. Find each angle measure.
a) ∠UXW
b) ∠UWY
c) ∠WZX
d) ∠XYZ
12. In a right triangle, one acute angle measure is 4 times the other acute angle measure. What
are the measures of the two acute angles?
13. An exterior angle of a triangle measures 117°. Its remote interior angles measure (2y2 + 7)°
and (61 – y2)°. Find the value of y.
14. The measure of each angle in a triangle is a multiple of 30°. What is the probability that the
triangle has at least two congruent angles?
15. In ΔABC, m∠B is 5° less than 1.5 times m∠A. m∠C is 5° less than 2.5 times m∠A. What is
m∠A in degrees?
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