Logical Method

Q. The sum of the interior angles of any triangle is equal to ${180}^{\circ }$.This law is called the __________.

1. None of the above
2. Angle sum property of a triangle.
3. Pythogoras theorem
4. Triangle exterior angle theorem

Q. What is angle sum property?

Q. In the following triangle, find the value of $\angle y$ and $\angle z$, if $\angle x$ = ${50}^{\circ }$ and $\angle 2$ = ${60}^{\circ }$.

1. $\angle y$ = ${70}^{\circ }$, $\angle z$ = ${60}^{\circ }$
2. $\angle y$ = ${60}^{\circ }$, $\angle z$ = ${60}^{\circ }$
3. $\angle y$ = ${60}^{\circ }$, $\angle z$ = ${70}^{\circ }$
4. $\angle y$ = ${70}^{\circ }$, $\angle z$ = ${70}^{\circ }$

Q.

A man runs in the east direction and suddenly changes his direction towards the north. After running for some time, he comes back to his original position. Given that the man's path of running is a triangle and one of its angles is 90 degrees, find the sum of the other two angles. [3 MARKS]

Q. In $\Delta$ PQR, PQ = 4 cm, QR = 7 cm and PR = 5 cm, then the largest angle of the triangle is ______.

1. $\angle$Q
2. $\angle$P
3. $\angle$R
4. $Noneofthese$

Q. In $\Delta ABC$, side AC is greater than side AB. If the internal bisector of $\angle A$ meets the opposite side at point D, then $\angle ADC$ is greater than $\angle ADB$.
If the above statement is true then mention answer as 1, else mention 0 if false.

Q.

Question 57

Fill in the blanks to make the statement true.

If one angle of a triangle is equal to the sum of other two, then the measure of that angle is ___

Q. In Figure, find the measures of $\angle x$ and $\angle y$.