Question

step by step explanation please answer​

Answer 1

Answer:

Step-by-step explanation:

1. angle around a point is always 360

So, 4x+ 2x+ 2x+ x = 360

  hence, x = 40

2. angle on a line is always 180

So,  a + 105 = 180 ⇒ a = 75

      b + 105 = 180 ⇒ b = 75

       a + 3x = 180 ⇒ 3x = 105

                                  x = 35

3. Consider l₁ and l₂ are parallel lines cut by l₃ as its transverse.

    Then, the corresponding angles are equal, consecutive interior angles are supplementary and alternative interior angles are equal.

Also, Vertically opposite angles are equal,

Here,  a and b are vertically opposite angles, b and c are corresponding angles, a and c are alternative interior angles

   Hence, d = 35

                a + 35 = 180

             ⇒   a = 145

                b = 145

                c = 145

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