Angle practice problems - page 17 of 61
Number of problems found: 1206
- Bisectors
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE.
- The second
The second angle of a triangle is the same size as the first angle. The third angle is 12 degrees larger than the first angle. How large are the angles?
- Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
- It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle?
- Successive 45281
The sizes of the interior angles of the triangle are in a successive ratio of 6:4:5 are these angles big?
- One angle 2
One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles?
- Bisector 2
ABC is an isosceles triangle. While AB=AC, AX is the bisector of the angle ∢BAC meeting side BC at X. Prove that X is the midpoint of BC.
- The missing angle
Find the unknown angle in the triangle. Angles are: 95, 2x+15, x+3. What type of triangle is it?
- An angle
An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x.
- Largest angle of the triangle
What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
- Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss)
- Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°).
- Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:3. What is the size of the larger of them?
- Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ...
- Triangle radians
The size of two internal angles of a triangle ABC is α=6/18π and β=7/18π. Calculate the size of the third angle.
- Calculate 68394
The sizes of the interior angles of the triangle are in the ratio of 3:4:5. Calculate these angles.
- One-quarter 13953
Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma.
- The angles 3
The angles in a triangle are in the ratio of 3:4:5. Work out the size of each angle.
- Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area?
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