Angle TUW measure (10x – 7)° and angle VUW measures (5x + 13)°. Find the measure of angle TUV

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

7 0

Answer:66

Step-by-step explanation:

The first thing we should know is that a kite has two pairs of adjacent congruent sides, so to find the value of x we are going to set the equations equal to each other. The value of x is 4. After, plugging the value of x into the equations the measure of both angles is 33. Angle TUV is made up of angles TUW, and VUW because of the measure of angle TUV is 66.

10x-7=5x+13

5x=20

x=4

10(4)-7=33

5(4)+13=33

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<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-11x%3D-28" id="TexFormula1" title="x^{2} -11x=-28" alt="x^{2} -11x=-28" align="

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