Solve the system of equations 2r + 2s = 50 and 2r – s = 17. A. r = 3, s = 11 B. r = 25, s = 33 C. r = 14, s = 11 D. r = –8, s =
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Given:
In an isosceles triangle LMN, LM=MN.
To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
(Given)
(Base angles of an isosceles triangle are equal)
Now,
On further simplification, we get
The value of x is 13. Using this value, we get
Similarly,
And,
Therefore, the measure of angles are .