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°.