Attempt following question by selecting a choice to answer.
D
UO and UT are opposite rays. What is the measure of
∠RUN?e DA.
D100
oB.
D125
oC.
D120
oD.
DNone of the above
D
B
Step 1: From the figure, ∠OUT = 180o
[Since UO and UT are opposite rays.]
Step 2: So, ∠OUR + ∠RUP + ∠PUN + ∠NUT = 180o.
Step 3: 32o + ∠x + 43o + 23o = 180o
[Substitute ∠OUR = 32o, ∠PUN = 43o and Ð NUT = 23o.]
Step 4: ∠x + 98o =180o.
Step 5: ∠x = 180o - 98o = 82o[Subtract 98o on both sides.]
Step 6: ∠RUN = ∠x + ∠PUN.
Step 7: ∠RUN = 82o + 43o = 125o[Substitute ∠x = 82o and ∠PUN = 43o.]