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Fiesta28 [93]
3 years ago
13

What’s the answer for D

Mathematics
1 answer:
g100num [7]3 years ago
6 0

Step-by-step explanation:

in \:  \triangle \: CDE \:  \\  \\  \overline {EC} \cong \:\overline  {DE}....(given) \\  \\  \therefore \:  \angle \: C \cong \:   \angle \:D...(1) \\  \\   \because \: \angle \: C  +   \angle \:D  +  \angle \: E = 180 \degree...(2) \\  \\  \therefore \: from \: equations \: (1) \: and \: (2) \\  \\  \angle \:D  +   \angle \:D  +  \angle \: E = 180 \degree \\  \\  \therefore \: 2\angle \:D  +  109 \degree  = 180 \degree  \\  \\ \therefore \: 2\angle \:D   = 180 \degree  - 109 \degree  \\  \\ \therefore \: 2\angle D   = 71 \degree  \\  \\ \therefore \: \angle D   = \frac{71 \degree}{2}  \\  \\  \huge \red{ \boxed{\therefore \: \angle D   =35.5\degree}}

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