Question

1.1
LKR
(2)
1.2
R
(2)
1.3
N
[6]​

Answer 1

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Answer:

1.1 ∠LKR = 90°

1.2 ∠R = 32°

1.3 ∠N = 32°

Explanation:

1.1 An inscribed angle is half the measure of the arc it subtends. Angle LKR is half the measure of the arc of semicircle LNR, so is 90°.

∠LKR = 90°

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1.2 ΔLKR is a right triangle with angles L1 = 58°, ∠K = 90°, so ∠R is ...

∠R = 90° -58°

∠R = 32°

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1.3 ∠N subtends the same arc LK that ∠R does, so it has the same measure.

∠R = ∠N = 32°