Question

in the figure,DE parallel to BC, angle A=30 and angle B=50. Find the values of x, y and z
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Answer 1

Answer:

angleA+angleB+angleC=180degree

30+50+angle C=180

80+angleC=180

angleC i.e. 'z'=100degree

Step-by-step explanation:

angleE and angleC are corresponding angles

therefore angleE i.e.x=100degree

now,

in triangleADE,

angleA+angleD+angleE=180degree

30+y+100=180

130+y=180

y=50

Therefore we get,

1. x=100 degree
2. y=50degree
3. z=100degree

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Answer 2

Answer:

x°=100,y°=50,z°=100

Step-by-step explanation:

In triangleABC,

30°+50°+c°=180°

c°=180°-80°=100°

As angle E and angle C are corresponding angles

x°=100°

In triangleADE,

30°+y°+100°

y°=180°-130°=50°