Question

Find the unknown angles where AB || CD

I have my project to submit and it would be very nice of you if you help me wid this ques, god bless you,
if you can answer then plz do,
Tysm,
have a great day ahead.
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Answer 1

Answer:

We have,

ABCD is a quadrilateral.

Given that,

∠C=70

o

,∠D=50

o

So,

∠A+∠B+∠C+∠D=360

o

(A+B)=360

o

−(C+D)

⇒(A+B)=360

o

−(70

o

+50

o

)

⇒(A+B)=360

o

−120

o

⇒(A+B)=240

o

According to given question,

∠OAB=

2

∠A

∠OBA=

2

∠B

Now,

∠OAB+∠OBA=

2

∠A+∠B

=120

o

⇒∠AOB+120

o

=180

o

⇒∠AOB=180

o

−120

o

⇒∠AOB=60

o

Hence, this is the answer

Answer 2

Given:-

AB || CD

To Find:-

the unknown angles

Solution:-

$\angle \: x = 125 \: degrees \\ \angle \: z = 55degrees \\ \angle \: y = 68degrees$

explaination:

⟹ angle 125° and x are corresponding angles hence they are equal.

⟹ anlge z=180-125=55°(linear pair)

⟹ angle y= 180-112 =68°

hope this helps.!!