Question

The figure below shows a circle with center JJ, diameter start overline, R, W, end overline
RW
, and tangents R, Q, with, left-right arrow, on top
RQ
​
and L, O, with, left-right arrow, on top
LO
. Which of the angles must be right angles? Select all that apply.
J
R
W
U
L
O
M
Q
E
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Answer
Attempt 1 out of 2
angle, U, R, J∠URJ
angle, R, U, W∠RUW
angle, U, R, Q∠URQ
angle, J, L, O∠JLO
angle, J, R, Q∠JRQ
angle, R, J, L∠RJL

Answer 1

∠JRQ and ∠JLO.

Reason: a radius to a point of tangency is perpendicular to the tangent at that point. So JR ⟂ RQ (making ∠JRQ = 90°) and JL ⟂ LO (making ∠JLO = 90°). The other listed angles are not necessarily right.