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ZRQS, what
of one of the
Use the diagram shown.
re collinear.
5 and LN = 17.
alue of MN?
12. If mZ1 equals (2x + 3) and m23
equals (6x - 17), what is the value
of x? What is mZ1?
13. If m 2 equals (15a + 8) and m23
equals (5a - 8), what is the value
of a?
Cso that
hat is x?

ZRQS what of one of the Use the diagram shown re collinear 5 and LN 17 alue of MN 12 If mZ1 equals 2x 3 and m23 equals 6x 17 what is the value of x What is mZ1 class=

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mhanifa

Answer:

  • 12. x = 5, m∠1 = 13°
  • 13. a = 9°

Step-by-step explanation:

12..................................

Given:

  • m∠1 = (2x + 3)
  • m∠3  =  (6x - 17)
  • x? m∠1?

Solution:

∠1 and ∠3 are vertical angles.

We know the property that vertical angles are equal:

  • 2x + 3 = 6x - 17
  • 6x - 2x = 3 + 17
  • 4x = 20
  • x = 5
  • m∠1 = 2*5 + 3 = 13°

13 ..................................

Given

  • m ∠ 2 =  (15a + 8)
  • m ∠ 3 =  (5a - 8)
  • a = ?

Solution

∠2 and ∠3 are supplementary angles.

We know the property that supplementary angles add up to 180°:

  • 15a + 8 + 5a - 8 = 180°
  • 20a = 180°
  • a = 180°/20
  • a = 9°

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