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3 years ago

Find the measure of angle 1 HELP

Mathematics

1 answer:

Naily [24]3 years ago

6 0

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = $\frac{1}{2}$ (110 + 40)° = 0.5 × 150° = 75°

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<img src="https://tex.z-dn.net/?f=%5Ctext%7BSolve%20for%20x%3A%7D%5C%5C%5C%5C3x%20%2B%2054%20%3D%20180" id="TexFormula1" title="

vagabundo [1.1K]

Hi there!

»»————-　★　————-««

I believe your answer is:

$x = 42$

»»————-　★　————-««

Here’s why:

We will use inverse operations to solve for 'x'.

⸻⸻⸻⸻

$\boxed{\text{Calculating the Answer....}}\\\\3x+54=180\\----------\\\rightarrow 3x + 54 - 54 = 180-54\\\\\rightarrow 3x = 126\\\\\rightarrow\frac{3x=126}{3}\\\\\rightarrow\boxed{x=42}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

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