Math, asked by princy9965, 4 months ago

Draw quadrilateral HELP with HE = 6cm, EL = 4.5 cm, <H = 60 , <E = 105 and <P = 120 . Plz answer soon friends​

Answers

Answered by dineshsahu8024
63

{\huge \fbox \pink {A}\fbox \blue {n} \fbox \purple {s} \fbox \green{w} \fbox \red {e} \fbox \orange {r}}

Step 1 : Draw a line segment HE = 6 cm using ruler

Step 2 : Draw an angle of 105° at point E on HE using protector

Step 3 : Take a length of 4.5 cm at angle drawn using ruler & compass and mark point L

Step 4 : Draw an angle of 75° at L on EL using protector

as angle ∠H + ∠E + ∠L + ∠P = 360° so ∠L = 75°

Step 5 : Draw angle of 60° at H

Step 6 : find intersection point of angle drawn at H & L and mark it P

Step 7 : Join HP & LP

Quadrilateral HELP  is constructed.

Hope it's help you ☺️☺️✌️✌️

✔️Answer by Dinesh Sahu✔️

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Answered by SajanJeevika
15

To construct the given quadrilateral, as we are already given three angles.

We shall find the fourth angle first.

Here <H = 60°, <E = 105°, <P = 120°

We know sum of all the angles of a quadrilateral = 360°

So <L = 360° - (60° + 105° + 120°) = 75°

Step 1)

Construct base HE = 6 cm

Step 2)

Construct <H = 60° (Shown in Red)

Step 3)

Construct <E = 105° (Shown in Blue)

On this line of <E cut an arc at 4.5 cm. (Shown in Green)

Mark this point as L

Step 4)

Construct <L = 75°. (Shown in Brown)

Name the point where it intersects the arm of <H as P.

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