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lubasha [3.4K]
3 years ago
11

WILL MARK BRAINLIEST PLEASE HELP ME! In a complete sentence, describe the angle relationship between ∠APD and ∠CPB. Then write a

nd solve an equation based on the relationship you identified in order to find the measure of ∠APD.

Mathematics
2 answers:
Natalija [7]3 years ago
6 0

Answer:

\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

∠APD and ∠CPB are vertically opposite angles

The equation is 6x-10=4x+8

6x-10=4x+8\\6x-4x=8+10\\2x=18\\x=9

Plug x as 9 for the angle.

4(9)+8\\36+8\\44

∠APD and ∠CPB = 44 degrees

Kipish [7]3 years ago
4 0

Answer:

∠APD and ∠CPB are Vertical Angles

Equation: 6x - 10 = 4x + 8

Step-by-step explanation:

We use the Vertical Angles Theorem to solve for <em>x</em>:

Step 1: Set up equation

6x - 10 = 4x + 8

Step 2: Subtract 4x on both sides

2x - 10 = 8

Step 3: Add 10 to both sides

2x = 18

Step 4: Find <em>x</em> by dividing 2 on both sides

x = 9

Step 5: Plug in <em>x</em> for 9 to find degree measure

m∠CPB = 4(9) + 8

m∠CPB = 36 + 8

m∠CPB = 44°

m∠CPB = m∠APD (Vertical Angles)

m∠APD = 44°

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