Posted by **Ana** on Sunday, December 5, 2010 at 3:47pm.

<D is complentary to <E and <D is supplementary to <G

If the measure of <E is 78

find the measure of <D and <G

- Math -
**MathMate**, Sunday, December 5, 2010 at 3:54pm
D+E=90 ... (1)

D+G=180 ... (2)

Given E=78,

Solve for D from (1), and hence G from (2).

- Math -
**Ana**, Sunday, December 5, 2010 at 4:06pm
<D=12

<G=118

???

- Math -
**MathMate**, Sunday, December 5, 2010 at 5:16pm
Let's do a check:

From (1)

D+E=90 => 12+78=90 OK

From (2)

D+G=180 => 12+118=130 ≠ 180 ??

Let's solve for G from (2):

D+G=180

12+G=180

12-12+G = 180-12

G=168

Post if it's still not clear.

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