Question

I don’t get it mind helping

Answer 1

Based on the picture, we can say that ∠FDE and ∠EDC are supplementary angles, meaning they add to 180°. Thus, we can sum up the measues of those angles to 180 and solve for
`x`:

`(x - 7) + (2x+ 1) = 180`

• Set up

`3x - 6 = 180`

• Combine like terms

`3x =186`

• Add 6 to both sides of the equation

`x = 62`

• Divide both sides of the equation by 3

We have now found that
`x = 62`. However, we are looking to find ∠ADC, which doesn't have any indication of measurement. However, we can see that ∠ADC and ∠FDE are vertical angles, meaning that they have the same measurement. Let's use the fact that
`x = 62` to find ∠FDE first.

`\angle FDE = (x - 7)^(\circ) = (62 - 7)^(\circ) = 55^(\circ)`

We have found that ∠FDE is 55°. Thus, the measure of ∠ADC is 55°.