Question

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Answer 1

Step-by-step explanation:

In angle ACD

2x + 30 =110

2x = 110 - 30

X =. 80 / 2

X = 40

In angle DCA

3x - 80 = 40

3x = 40 +80

3x = 40+80

X = 120/3

X = 40

In angle BCE

x - 10 = 30

X. = 30 + 10

X = 40

Hence, all the angles are equal to 40

Answer 2

Answer:

In ABC:

$2x + 30 = 110 \\ 2x = 110 - 30 \\ 2x = 80 \\ x = \frac{80}{2} \\x = 40$

In BCA

$3x - 80 = 40 \\ 3x = 40 + 80 \\ 3x = 120 \\ x = \frac{120}{3} \\ \boxed{ x = 4}$

In BCE

$x - 10 = 30 \\ x = 30 + 10 \\ \boxed{x = 40}$

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