Question

Find x y z in the following figure

Answer 1

Answer:

x= 70

y= 70

z= 65

Step-by-step explanation:

180-40= 140/2

= 70

x and y= 70

z= 60+55=115

180-115= 65

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Answer 2

Answer:

In ∆ ABD ,

<A + <B + <D = 180 { ANGLE SUM PROPERTY)

55+x + 40 + 60 = 180

155+ x = 180

x = 180 - 155

x = 25

In ∆ ABC,

<A +<B + < C = 180 { angle sum property)

25+40+y = 180

65 + y = 180

y = 180-65

y = 115

In ∆ ACD,

<A + <C + < D = 180 ( angle sum property)

55 + z + 60 = 180

z + 115 = 180

z = 180-115

z= 65

Step-by-step explanation:

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