Suppose that LMN is isosceles with base LN suppose that M

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 .

4 · (x - 7) = 32

Step-by-step explanation:

1. "Four times" indicates that we're multiplying, and our equations looks like this so far: 4 ·

2. "The difference of a number and 7" means that we're subtracting 7 from an unknown number, x. This part of the equation is written as (x - 7). When we put together 4 · and (x - 7), we get 4 · (x - 7). We're NOT multiplying 4 and x first because the statement says we're multiplying 4 by the DIFFERENCE of a number and 7.

3. "is 32" just means = 32.

4. Now, when we put together all these fragments into an equation, we get a result of: 4 · (x - 7) = 32.