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Enter the number that belongs in the green box. m

Enter the number that belongs in the green box. m-example-1
User Kyuuji
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1 Answer

5 votes

Answer: 107

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Step-by-step explanation:

Let's find angle D. Recall that for any triangle, the interior or inside angles always add to 180 degrees.

A+D+C = 180

32+D+41 = 180

D+73 = 180

D = 180-73

D = 107

Now notice that triangle ADC is congruent to triangle ABC. We can use the SSS congruence theorem to prove this.

The identical triangles must have corresponding angles that are the same measure, meaning angle D = angle B = 107 degrees.

Side note: This quadrilateral is a kite because it has two pairs of adjacent congruent sides, but not all four sides are the same length (or else it would be a rhombus).

User Mibutec
by
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