What is the value of x and y? show all work

Mathematics

2 answers:

coldgirl [10]2 years ago

5 0

I believe that x and y are == given that both sides are 24:24

so we know a triangle must add up to 180 degrees

just do 180-46 = 134

134/2=67

x=y=67

frutty [35]2 years ago

4 0

Answer:

x = 67

y = 67

Step-by-step explanation:

Angles with similar opposite side lengths are congruent. Both angle x and y have opposite side lengths with a length of 24, hence x = y.

Angles in a triangle add up to equal 180°. ( x + y is the same as 2x or 2y because x = y. This makes it easier to create an equation in which we can solve for. )

Because angles in a triangle add up to equal 180° x + y + 46 should equal 180

This equation can also be written as 2x + 46 = 180

We can then solve for x

2x + 46 = 180

subtract 46 from both sides

2x = 134

divide both sides by 2

2x / 2 = x

134 / 2 = 67

we're left with x = 67

because x = y, y also equals 67

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