Can someone please solve this, and explain it to me?

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  • 2 months ago

    For all triangles 'x' is the sum of the two opposite interior angles, one of which has been given ; viz. 104 o 

    To find the other we have a straight line with an supplementary angle of  142 o . Now the angle of any point on a straight line is 180 o . So if we subtract 180 - 142 = 38 o , which is the other opposite interior angle. 

    So 'x' is 38 + 104 = 142 o 

  • 2 months ago

    When 2 angles are formed along a straight line, they must add up to 180. Also, all 3 angles inside of a triangle must add up to 180. Start solving the upper left hand corner angle, using the straight line rule.

  • Amy
    Lv 7
    2 months ago

    The uppermost angle in the triangle forms a straight line when combined with the 142° angle, so it must be 38°.

    Angles of a triangle sum to 180°. If one is 38° and another is 104°, the third angle must be 38°.

    Then that angle and x make another straight line.

  • 2 months ago

    the sum of complimentary angles is 10 deg.

    The sum of 3 interior angles of a triangle is 180 deg.

    The top acute angle is 180-142=38 deg.

    The lower acute angle is: 180-38-104=38 degrees.

    The outer obtuse angle is: 180-38=142 deg.

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  • 2 months ago

    1st solve the angle which is linier  to angle 142°. Let's call it angle y.

    y° = 180 - 142 = 38°

    next solving the other angle that is linier to angle x

    z° = 180 - 104 - 38 = 38°

    lastly, solving for x

    since angle x and angle z are supplementary, we can solve for x by subtracting 180°.

    x = 180 - 38 = 142°  Answer//

  • 2 months ago

    x=104*+(180*-142*)=142*

  • 2 months ago

    x = 104° + (180° - 142°) = 142°

  • ?
    Lv 7
    2 months ago

    See below for work and solution.

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  • TomV
    Lv 7
    2 months ago

    We know:

    Sum of the internal angles of a triangle is 180°

    Supplementary angles sum to 180°

    Putting those two together:

    104° + (180-142)° + (180-x)° = 180°

    (104 + 38 + 180) - x = 180

    x = 104+38

    x = 142°

  • 2 months ago

    180 -142 =  38

    38 + 104 = 142

    142 + x =180 

              x= 142

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