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AlexFokin [52]
4 years ago
6

M angle D=? What is the degree of the angle?

Mathematics
1 answer:
bekas [8.4K]4 years ago
6 0

Answer:

<h2>80°</h2>

Step-by-step explanation:

In ACB and ECD

AC =~ CE [ Given ]

BC =~ CD [ Given ]

<ACD =~ <ECD [ Vertical angles ]

Hence, ∆ ACB =~ ECD by SAS congruency of triangles.

Then, <B = <D

In ∆ABC , sum of all three angles must be 180°

<A + <B + <C = 180°

plug the values

30 +  < d \:  + 70 = 180

Add the numbers

100 +  < d = 180

Move constant to R.H.S and change it's sign

< d = 180 - 110

Subtract the numbers

< d = 80 °

Hope this helps..

Best regards!!

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