The sum of two numbers is 42. The larger number is 6 more than the smaller number. What are the numbers?
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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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