Question

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Answer 1

Answer:

Step-by-step explanation:

7). Since, ∠4 and ∠5 are the linear pair of angles,

    m∠4 + m∠5 = 180° [Supplementary angles]

    72° + m∠5 = 180°

    m∠5 = 180° - 72°

    m∠5 = 108°

8). Since, ∠6 and ∠7 are the vertically opposite angles,

    Therefore, ∠6 ≅ ∠7

    m∠6 = m∠7

    3x + 94 = 9x - 38

    9x - 3x = 94 + 38

    6x = 132

    x = 22

    m∠6 = 3(22) + 94 = 160°

    m∠7 = 9(22) - 38 = 160°

9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.

    m∠2 + m∠3 = 180°

    (13x + 54) + (2x + 36) = 180°

     15x + 90 = 180°

     15x = 90

     x = 6

     m∠2 = 13(6) + 54 = 132°

     m∠3 = 2(6) + 36 = 48°