# math

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if the measure of the two opposite angles of a parallogram are: 3x + 40 and x + 50, what is the value of x and the measure of its angle

• math -

Sum of angles is:

2*(3x+40+x+50)=2*(4x+90)=8x+180

If you measuring angles in °

8x+180°=360°

8x=360°°-180°=180°

8x=180° Divide with 8

x=180°/8

x=22.5°

First angle=3x+40=3*22.5+40=67.5+40=
107.5°=107°30´

Second angle=x+50=22.5+50=72.5°=72°30´

• math -

In a certain triangle, one angle has a measure of 53° and another angle has a measure of 74°. If the triangle is isosceles, then which of the following could be the measure of the third angle?

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