A teacher has 36 students who were randomly assigned to 6 rows of 6 desks. She wants to survey the students
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<h2>The missing measures of the angles are:</h2>
<u>Given</u>:
<em><u>Note the following:</u></em>
- An equilateral triangle has all its three angles equal to each other. Each angle =
.
- This implies that, since
is equilateral, therefore,
- Base angles of an isosceles triangle are congruent to each other.
- This implies that, since
is isosceles, therefore,
Applying the above stated, let's find the measure of each angle:
- Find
(an angle in an equilateral triangle equals 60 degrees)
- Find
- Find
and
(base angles of isosceles triangle WZY)
(base angles of isosceles triangle are congruent)
Therefore,
- Find
Substitute
The missing measures of the angles are:
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Answer:
See below.
Step-by-step explanation:
I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.
♦ The midline's length is the average of the lengths of the top and bottom parallel sides.
Use this equation and substitute values given in each problem, then solve for the missing information.
1. AL = x, CE = 9, OR = 5
2. AL = <em>m</em> - 4, CE = 15, OR = 17
3. OR = y + 5, AL = 15, CE = 18