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mina [271]
3 years ago
15

Please help! I’m confused (both questions, 24 & 25) I need to find all of the letters shown and show my work.

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Problem 24

<h3>Answer: w = 120</h3>

-----------------

Work Shown:

We have an isosceles triangle. The angles opposite the congruent sides are congruent. These are the base angles each 30 degrees. The missing angle is w. The three angles add to 180

(angle1)+(angle2)+(angle3) = 180

30+30+w = 180

60+w = 180

60+w-60 = 180-60 ... subtract 60 from both sides

w = 120

======================================================

Problem 25

<h3>Answers:</h3><h3>x = 6.5</h3><h3>y = 5</h3>

-----------------

Work Shown:

The angle marks are all the same, so the three angles are congruent to one another. We consider this an equiangular triangle. Any equiangular triangle is also equilateral, meaning all three sides are the same length.

So,

2x-5 = 8

2x-5+5 = 8+5 ... add 5 to both sides

2x = 13

2x/2 = 13/2 ... divide both sides by 2

x = 6.5

and also,

y+3 = 8

y+3-3 = 8-3 ... subtract 3 from both sides

y = 5

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