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ACB is an isosceles triangle. ÐACB = 58°. Which of the pairs shown could be the measures of the other two angles?


A. ÐABC = 91°, ÐBAC = 59°

B. ÐABC = 59°, ÐBAC = 71°

C. ÐABC = 61°, ÐBAC = 61°

D. ÐABC = 78°, ÐBAC = 42°

ACB is an isosceles triangle ÐACB 58 Which of the pairs shown could be the measures of the other two anglesA ÐABC 91 ÐBAC 59B ÐABC 59 ÐBAC 71C ÐABC 61 ÐBAC 61D class=

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sqdancefan

Answer:

C. ∠ABC = 61°, ∠BAC = 61°

Step-by-step explanation:

The remaining two angles must be equal. C is the only choice showing equal angles.

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As a check, the angles must add to 180°, so you have ...

... 2∠A + 58° = 180°

... ∠A + 29° = 90° . . . . . . divide by 2

... ∠A = 61° = ∠B . . . . . . . matches choice C
The correct answer is c

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