Question

Thankkk you in advance!

Answer 1

Answer: 22

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Step-by-step explanation:

• x = measure of angle 1 = angle WXY
• 2x = twice the measure of angle 1 = measure of angle 2 = angle YXZ

The two angles mentioned combine to form angle WXZ which is 66 degrees.

angle1+angle2 = angle WXZ

x+2x = 66

3x = 66

x = 66/3

x = 22

Angle 1 is 22 degrees and angle 2 is 22*2 = 44 degrees.

Check:

angle1+angle2 = 22+44 = 66 = angle WXZ

Answer 2

m∠1 = 22°

Step-by-step explanation:

Given the ∠WXZ = m∠66°, which includes the following adjacent angles:

∠WXY = m∠1

∠YXZ = m∠2

The prompt also states that m∠2 is twice the measure of ∠1.

Hence, let m∠1 = x, and m∠2 = 2x.

In order to find m∠1, we can establish the following formula:

m∠1 + m∠2 = m∠WXZ

Substitute the given values into the formula:

x + 2x = 66°

Combine like terms on the left-hand side:

3x = 66°

Divide both sides by 3 to solve for x:

`\displaystyle\mathsf{(3x^(\circ))/(3^(\circ))\:=\:(66^(\circ))/(3^(\circ)) }`

x = 22°

Therefore, the value of m∠1 = 22°, and m∠2 = 2x = 2(22)° = 44°.

Double-check:

In order to verify whether we have the correct values for m∠1 and m∠2, substitute their values into the equation:

m∠1 + m∠2 = m∠WXZ

x + 2x = 66°

22° + 44° = 66°

66° = 66° (True statement).