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viktelen [127]
2 years ago
11

100 POINTS PLEASE HELP ME 100 POINTS (make fullscreen)

Mathematics
2 answers:
Anit [1.1K]2 years ago
8 0

Answer:

  • 1) 64, 2) 6, 3) 26, 4) 33

Step-by-step explanation:

<h3>#1</h3>

<u>Sum of interior angles is 180</u>

  • 70 + 46 + x = 180
  • 116 + x = 180
  • x = 64
<h3>#2</h3>

<u>Sum of interior angles is 180</u>

  • 84 + 7x + 1 + 9x - 1 = 84
  • 16x + 84 = 180
  • 16x = 96
  • x = 6
<h3>#3</h3>

<u>Vertical angles are same, the sum of remaining angles is same for both triangles:</u>

  • 35 + 25 = 34 + x
  • 60 = 34 + x
  • x = 60 - 34
  • x = 26
<h3>#4</h3>

<u>Exterior angle is same as the sum of non-adjacent interior angles:</u>

  • 5x - 7 + 6x + 3 = 84
  • 11x - 4 = 84
  • 11x = 88
  • x = 8
  • m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
Juli2301 [7.4K]2 years ago
6 0

Answer:

1) 64, 2) 6, 3) 26, 4) 33

Step-by-step explanation:

I hope this helped : ) sorry if it did not : (

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If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.
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Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

m(∠ABD) = 90°

m(∠ABD) = m(∠ABC) + m(∠DBC)

90° = 43° + m(∠DBC)

m(∠DBC) = 90 - 43 = 47°

Since ∠ABC ≅ ∠4 [Vertical angles]

m∠ABC = m∠4 = 42°

Since, m∠3 + m∠4 = 90° [Complimentary angles]

m∠3 + 42° = 90°

m∠3 = 90° - 42°

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Since, ∠5 ≅ ∠3 [Vertical angles]

m∠5 = m∠3 = 48°

m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]

m∠2 + 48° = 90°

m∠2 = 90 - 48 = 42°

m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]

48° + m∠4 = 90°

m∠4 = 90 - 48 = 42°

Therefore, ∠2 and ∠4 measure 42°.

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