Question

find unknown values​

Answer 1

Answer:

In ΔPQR,

∠P = 60°

∠Q = 45°

∠R = 75°

In ΔPRS,

∠P = 65°

∠R = 25°

∠S = 90°

Step-by-step explanation:

In ΔPQR

We know the measure of ∠P and ∠R

We know that all the angles of a triangle sum up to 180°. (Angle Sum Property)

So, ∠Q = 180 - (60 +75)

= 180° - 135°

= 45°

∴ x = 45° - 20

x = 25°

In ΔPRS,

∠S is already known as 90°

∠R = x = 25°

∴∠P = 180 - (90 + 25)

= 180 - 115

= 65°

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