Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, −1), and S (1, −2). Russell and Jamie have both classified PQRS diffe
rently. Examine their proofs. Who is correct?
A) Russell
B) Jamie
C) Both
D) Neither
A) Russell
B) Jamie
C) Both
D) Neither
1 answer:
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9514 1404 393
Answer:
angle 1 = 76°
angle 4 = 45°
Step-by-step explanation:
The relevant relations are ...
- vertical angles are congruent
- the sum of angles in a triangle is 180°
- a linear angle is 180°
- an exterior angle is equal to the sum of the remote interior angles
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Angle 1 can be found using the fact that the sum of interior angles is 180°
∠1 +68° +36° = 180°
∠1 = 76° . . . . . . . . . . . . . subtract 104° from both sides
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Finding angle 4 requires you know angle 3, which is a vertical angle to the one marked 65°. This means we have ...
∠3 +70° +∠4 = 180° . . . . . . the angles together form a linear angle
∠4 = 180° -70° -65° . . . . . . substitute 65° for ∠3
∠4 = 45°
