Answer:
They are vertical angles
x = 5
The mesure of the angles are 35, 35, 145, and 145
Step-by-step explanation:
vertical angles are derectly acrost from each other.
the equations 3x+20 and 10x-15, put into the equation 3x+20=10x-15 will solve for x.
20 = 10x − 15 − 3x
20 = 7x - 15
20 + 15 = 7x
35 = 7x
35/7 = x
5 = x
x = 5
The equations solved are 3 x 5 + 20 = 35 and 10 x 5 - 15 = 35
The sum of all the angles is 360, therefore 35 + 35 = 70
360 - 70 = 290
290/2 = 145
The last two angles are 145 degrees
[ ISN} and {TSW} so the answer is D
Since measure REU equal measure SFT, RE=FT and SF=EU then the two triangles REU et SFT are similar.
Then we deduce that the two sides RU and ST are equal, RU=ST.
Also, since the two triangles above are similar, then the two angles FST and RUE are equal. We deduce that the two lines RU and ST are parallel (interior opposite angles principles.)
We have two facts now:
RU = ST and RU parallel to ST, we deduce that the quadrilateral is a parallelogram.
