The second angel of a triangle is 35 more than the first angle. The third angel is three times the first. Find the three angles

Question

The second angel of a triangle is 35 more than the first angle. The third angel is three times the first. Find the three angles

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Lyla 1 week 2021-10-06T09:28:42+00:00 2 Answers 0

Answers ( )

    0
    2021-10-06T09:29:44+00:00

    Answer:

    First angle =29

    Second angle = 64

    Third angle = 87

    Step-by-step explanation:

    First, we need to interpret this statement and write the mathematical form of the statement.

    Let x, y, z equal to the first, second and third angle respectively.

    The question says ‘The second angle of a triangle is 35 more than the first angle’

    This implies y = 35 + x

    ‘The third angle is three times the first’, this implies z =3x

    Now, the sum of angles in a triangle is equal to 180°

    This implies

    x + y + z = 180° ——————-(1)

    But y = 35 +x and z =3x

    substituting y =35 and z=3x in equation (1), our equation becomes;

    x + 35 + x + 3x  = 180

    we can rearrange this equation

    x + 3x + x+ 35 = 180

    5x + 35 = 180

    subtract 35 from both-side of the equation

    5x + 35 – 35 = 180 -35

    5x = 145

    Divide both-side by 5 to get the value  of x

    5x/5 = 145/5

    x = 29

    To find the value of z, recall that z = 3x

    substitute x = 29 into z =3x  thus;

    z = 3(29)

    z=87

    but y= 35 + x

    y = 35 + 29

    y =64

    x= 29, y =64   and z = 87

    Therefore the first angle of the triangle  is 29, the second angle of the triangle  is 64 and the third angle of the triangle is 87

    0
    2021-10-06T09:29:46+00:00

    Answer:

    the first angle: 29

    the second angle: 64

    the third angle: 87

    Step-by-step explanation:

    the first angle: x

    the second angle:  x + 35

    the third angle: 3x

    the sum of all three angle is 180

    we have the equation: x + (x+35) + 3x =180

                                         5x+35=180

                                         5x = 145

                                            x = 29

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