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madreJ [45]
3 years ago
7

Can someone help please

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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I WILL GIVE BRAIN<br> Find m2WXY<br> Po<br> (2x - 2)<br> w Х<br> 70°<br> Z<br> O<br> mZWXY = |
Alex_Xolod [135]

Answer:

m∠WXY is 142°

Step-by-step explanation:

<em>The measure of the </em><em>exterior angle</em><em> at one vertex of a triangle equals the </em><em>sum of the measures of the opposite interior angles</em><em> to this vertex</em>

In ΔXYZ

∵ ∠WXY is an exterior angle at the vertex X

∵ ∠Y and ∠Z are the opposite interior angles to the vertex X

→ By using the rule above

∴ m∠WXY = m∠Y + m∠Z

∵ m∠WXY = (2x - 2)°

∵ m∠Y = x° and m∠Z = 70°

→ Substitute them in the equation above

∴ 2x - 2 = x + 70

→ Subtract x from both sides

∵ 2x - x - 2 = x - x + 70

∴ x - 2 = 70

→ Add 2 to both sides

∵ x - 2 + 2 = 70 + 2

∴ x = 72

→ To find the m∠WXY, substitute x by 72 in its measure

∵ m∠WXY = 2(72) - 2

∴ m∠WXY = 144 - 2

∴ m∠WXY = 142°

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3 years ago
The diagram below shows the different lengths and widths of a rectangle based on a given ratio.
Vinil7 [7]
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3 years ago
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