asked 187k views
2 votes
Find the value of Z.
A)7
B)9
C)11
D)12

Find the value of Z. A)7 B)9 C)11 D)12-example-1
asked
User Everzet
by
7.4k points

2 Answers

4 votes


2z-15=9\\2z=24\\z=12

answered
User Ethan Heilman
by
7.9k points
7 votes
As per the isosceles triangle theorem, if the two base angles are congruent then the legs are also congruent, so we must set the two legs equal to each other:

2z - 15 = 9

Add 15 to both sides:

15 - 15 = 0
15 + 9 = 24

Divide 2 from each side:

2z = 24

2z/2 = z

24/2 = 12

z = 12

Hence, the answer would be D: z = 12

answered
User Frederj
by
8.6k points

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