shieldsm092 shieldsm092
  • 17-03-2020
  • Mathematics
contestada

Line a is parallel tо lіnе b, m<6=85, and m<3= 2х. Find m<1.

105

85

90

95

Line a is parallel tо lіnе b mlt685 and mlt3 2х Find mlt1 105 85 90 95 class=

Respuesta :

shilpa85475 shilpa85475
  • 25-03-2020

The measure of ∠1 is 95°

Solution:

Given a || b.

m∠6 = 85° and m∠3 = 2x°

∠6 and ∠3 are co-interior angles.

Co-interior angles add up to 180°.

⇒ m∠6 + m∠3 = 180°

⇒ 85° + 2x° = 180°

Subtract 85° from both sides.

⇒ 2x° = 95°

⇒ m∠3 = 95°

If two lines cut each other, then vertically opposite angles are congruent.

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Hence the measure of ∠1 is 95°.

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