Mathematics

Question

Can’t work out angle 2x-30 I don’t know what this means and is the angle next to 68 a right angle or straight line : would I subtract 180 - 68
Can’t work out angle 2x-30 I don’t know what this means and is the angle next to 68 a right angle or straight line : would I subtract 180 - 68

2 Answer

  • Answer:

    x = 63 degrees.

    Step-by-step explanation:

    So first, 2y - 30 = 68 degrees.

    It is because of alternative interior angles.

    2y - 30 = 68

    2y = 98   Move the -30 to the other side

    98/2 = 49  So, y = 49

    So in a triangle, the 3 angles equal 180 degrees.

    So you do 49 + 68 = 117 degrees. You do this, because the 2 angle not including x is 49 and 68

    Then you subtract 117 from 180

    180 - 117 = 63 degrees. You do this because the 3 angles of a triangle equal 180 degrees.

    So x = 63 degrees

  • Answer:

    x = 63

    Step-by-step explanation:

    Since AB and CD are parallel lines, then

    2y - 30 = 68 ( corresponding angles )

    Add 30 to both sides

    2y = 98 ( divide both sides by 2 )

    y = 49

    The third angle in the triangle = 68 ( alternate angles )

    The sum of the 3 angles in the triangle = 180°, that is

    x + y + 68 = 180 ← substitute value of y

    x + 49 + 68 = 180

    x + 117 = 180 ( subtract 117 from both sides )

    x = 63

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