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Ianpaulolivago
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1. The figure below is a parallelogram. If m2 2 + 10 and m - 2 + 30. What is the
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1 The Figure Below Is A Parallelogram If M2 2 10 And M 2 30 What Is Themlt0 class=

Sagot :

Answer:

Since ∠E and ∠O are opposite angles of a parallelogram then they are congruent.

∠E = 2x + 10

∠O = x + 30

∠E = ∠O

2x + 10 = x + 30

2x - x + 10 - 30 (Transpose)

x - 20 (Simplify)

x = 20 (Transpose)

∠E = 2x + 10

∠E = 2(20) + 10

∠E = 40 + 10

∠E = 50

KAntoineDoixgo

PARALLELOGRAM

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» Well since the parallogram shows that angle O and angle E is located in opposite sides. They have the same or equal measures.

  • m∠O = m∠E

[tex] \: [/tex]

» Substitute to find the value of x

  • 2x + 10 = x + 30
  • 2x - x = 30 - 10
  • x = 20

[tex] \: [/tex]

» And now that we know the value of x is 20, find the measure of angle O by substitution.

  • m∠O = 2x + 10
  • m∠O = 2(20) + 10
  • m∠O = 40 + 10
  • m∠O = 50
  • m∠O = 50°

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