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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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