Question

Draw the line AB, 12 centimetres long. Mark Con it such

that AC is of AB. Mark D such that AD is AC is 2 3 4 of AC

What fraction of AB is AD?​

Answer 1

Answer:

Given: Three angles of a quadrilateral are 75°, 90° and 75°.

Let the fourth angle be x.

Using angle sum property of quadrilateral,

75°+90°+75°+x=360°⇒240°+x=360°

⇒x=360°-240°⇒x=120°

So, the measure of the fourth angle is 120°.

Answer 2

steps for construction

· draw AB=5cm

· with A as centre cut an arc of 3cm on AB and mark it C

· with A as centre and radius 2.5cm, draw an arc and mark it O

· with O as centre and radius 2.5cm, draw a circle so that points A and C lie on the circle formed

· join OB

· draw perpendicular bisector of OB to obtain mid point of OB, M

· with M as the centre and radius equal to OM, draw a circle to cut the previous circle at point P and Q

· join PB and QB, PB and QB are required tangents to the given circle from exterior point B

QB=PB=3cm

The length of the tangents is 3cm