Solving for an angle in a right triangle Quiz 1

Question 1

Find the value of each angle of a right angled triangle, if two angles of the right angle triangle are congruent.

Accepted Answer

$${45^\circ },{45^\circ },{90^\circ }$$

Answer

$${40^\circ },{50^\circ },{90^\circ }$$

Answer

$${30^\circ },{60^\circ },{90^\circ }$$

Answer

$${20^\circ },{70^\circ },{90^\circ }$$

Question 2

Calculate the value of $$y$$ if a person A standing on north making an angle $$\dfrac{y}{3}$$ with vertical axis while person B on west making an angle $$\dfrac{y}{2}$$  with horizontal axis as shown in the figure. $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/fe76ca50-a0e3-4707-b9a8-e56e2919bd532846538723220986871.png"/>

Accepted Answer

$${108^\circ }$$

Answer

$${72^\circ }$$

Answer

$${48^\circ }$$

Answer

$${78^\circ }$$

Question 3

Find the value of $$k$$ , if angles of a right angled triangle other than right angle are $$k$$ and $$\dfrac{k}{2}$$ is

Accepted Answer

$${60^\circ }$$

Answer

$${45^\circ }$$

Answer

$${35^\circ }$$

Answer

$${70^\circ }$$

Question 4

Find the value of $$x$$, if angles of right angled triangles are $$x$$ and $$\dfrac{{7x}}{2}$$ is

Accepted Answer

$${20^\circ }$$

Answer

$${40^\circ }$$

Answer

$${60^\circ }$$

Answer

$${30^\circ }$$

Question 5

A bird is sitting on the pole making an angle of $${42^\circ }$$ with the pole looking at an insect on the ground, what would be the angle formed by an insect on ground. $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/45fc1f96-4c0e-4c20-b643-cb3e29ff21c38942793723921351834.png"/>

Accepted Answer

$${48^\circ }$$

Answer

$${58^\circ }$$

Answer

$${52^\circ }$$

Answer

$${45^\circ }$$