Answer:
The option is C i.e 115°, 65°. proof is given below.
Step-by-step explanation:
Given:
ABCD is a quadrilateral.
m∠ A = 100 + 5x
m∠ B = 77 - 4y
m∠ C = 106 + 3x
m∠ D = 47 + 6y
To Prove:
ABCD is a parallelogram if opposing angles are congruent by finding the measures of angles.
m∠ A = m∠ C and
m∠ B = m∠ D
Proof:
ABCD is a quadrilateral and is a parallelogram if opposing angles are congruent.
∴ m∠ A = m∠ C
On substituting the given values we get
∴ 100 + 5x = 106 +3x
∴ 
m∠ A = 100 + 5x = 100 + 5 × 3 =100 + 15 = 115°
m∠ C = 106 + 3x = 106 + 3 ×3 =106 + 9 = 115°
∴ m∠ A = m∠ C = 115°
Similarly,
∴ m∠ B = m∠ D
77 - 4y = 47 + 6y
10y = 77 - 47
10y =30
∴
m∠ B = 77 - 4y =77 - 4 × 3 = 77 - 12 = 65°
m∠ D = 47 + 6y = 47 + 6 × 3 = 47 + 18 = 65°
∴ m∠ B = m∠ D = 65°
Therefore the option is C i.e 115°, 65°
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[|] Answer [|]
<u><em>6, 5, 4</em></u>
<u><em></em></u>
[|] Explanation [|]
<em>Exterior Angles:</em>
<u><em>Angles facing outward on a triangle</em></u>
Angles 6, 5 and
4 are not inside the main triangle. They are wide open. <u><em>Exterior simply means the outside of something.</em></u> Angles 6, 5 and 4 are the outside angles to the main triangle.
<u><em>_[|] Eclipsed [|] _</em></u>
Answer:
612
Step-by-step explanation:
To find this answer, you can invert the equation:
452.88 = 0.74x
x = 452.88 / 0.74
x = 612
You're just dividing the total yards of each felt evenly across the 3 quilts. 15/3 and 12/3 mean Ivan will use 5 yards of green felt and 4 yards of blue felt per quilt, for a total of 9 yards per quilt.