Question

Draw an angle BAC of measure 45 degree
take a point P in the interior of angle BAC from P draw line segment PM and PN such that PM and \AB and PN\AC measure angle MPN. ​

Answer 1

Answer:

Solution

verified

Verified by Toppr

Step I: Draw a line segment A on the line L .

Step II: Take a protractor and place it on the segment AC such that AC coincides with the line of the diameter of the protractor and the middle point of the line coincides with point A.

Step III: Counting from the right side, mark a point as B at the point of 45

°

of protractor and draw a line segment AB.

Step IV: Take a convenient radius with P as centre, construct an arc intersecting the line segments AB at T and Q and AC at R and S.

Step V: Using the same radius and with T and Q as centres, construct two arcs intersecting at G on the other side.

Step VI: Using the same radius and with R and S as centres, construct two arcs intersecting at H on the other side.

Step VII: Join PG and PH which intersects AB and AC at M and N, respectively.

On measuring ∠MPN using a protractor, we get it equal to 135

°