Question

a) Take three collinear points P, Q, R in a plane. Join PQ, QR, and RP. Is the figure a triangle? If not, why?

b) Can a triangle have two obtuse angles?

c) One of the acute angles of a right triangle is 40.5°. Find the other acute angle.

The answer with the best explanation will be marked as the brainliest

Answer 1

Answer:

a) No. The figure formed is a line and not a triangle. Because all points are collinear i.e. all the points are in the same line.

b)No. A triangle cannot include two obtuse angles. Because the sum of the measure of all angles of a triangle is 180° and if there is one obtuse angle for e.g. 120° then the other one needs to be acute angle i.e. for this eg- it needs to be smaller than 90°.

c)If one angle is 90° and the other is 40.5° then,

90 + 40.5 + x = 180 -------- Sum of measure of angles of a triangle

130.5 + x = 180

x = 180 - 130.5

:. x = 49.5°

Answer 2

1) collinear means 3 points lies in a single line

thats way it is not forms a triangle.

2) No because obtuse angles means more then 90 soo if we take 2 obtuse anges is more then 180 degree... according to law of tri angles sum of three angles = 180.

so in a tri angle only one obtuse angle should be taken.

3)in triangle three angles sum = 180

so one the angle = 90 and other = 40.5

so 90+40.5+x = 180

then x = 180- 130.5

x = 49.5