Bluebook SAT Test Geometry and Trigonometry 3

Question 1

What is the measure of each interior angle of a regular hexagon?

Accepted Answer

120°

Answer

Sum of interior angles = (6−2)×180° = 720°. Each angle = 720°/6 = 120°.

Question 2

In a right triangle, if one acute angle is 40°, what is the other acute angle?

Accepted Answer

50°

Answer

The three angles sum to 180°. 90° + 40° + x = 180° → x = 50°.

Question 3

A sector of a circle has a central angle of 90° and a radius of 6. What is the area of the sector? (Use π ≈ 3.14)

Accepted Answer

28.26

Answer

Area = (90/360) × πr² = (1/4) × 3.14 × 36 = 28.26.

Question 4

A ramp rises 3 feet over a horizontal distance of 4 feet. What is the angle of elevation? (Approximate)

Accepted Answer

37°

Answer

tan(θ) = 3/4 = 0.75. arctan(0.75) ≈ 36.87° ≈ 37°.

Question 5

Two parallel lines are cut by a transversal. If one interior angle is 70°, what is the co-interior (same-side interior) angle?

Accepted Answer

110°

Answer

Co-interior angles (same-side interior) are supplementary: 70° + 110° = 180°.

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