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MissTica
2 years ago
5

Construct a quadrilateral abcd in which. ab=4 cm and ad=5cm ,Angle A=60°.Angle B=90°and Angle D=90°​

Mathematics
1 answer:
Andrej [43]2 years ago
3 0

Answer:

Step-by-step explanation:

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!!!!!!!( help me solve this problem)!!!!!!!
ruslelena [56]
Hi Bre,

Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
-       ...
- ∡4 ⇔ ∡8

We're given the angle of ∡7, which is 114°.  We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.

From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°

-Hope this helps!
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Step-by-step explanation:

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