Construct Triangle When Its Base, Difference of the Other Two Sides and One Base Angle Are Given

Q.

If one angle of a triangle is greater than the sum of other two so that the triangle is obtuse angle triangle

Q.

One angles of an isosceles triangle is 120°. What are the other two angles?

Q.

What are the angles of an isosceles right angled triangles?

Q.

If all three angles of a triangle are equal then the measure of each angle is

1. ${50}^{\circ }$

2. ${60}^{\circ }$

3. ${70}^{\circ }$

4. ${40}^{\circ }$

Q.

In the adjacent triangle ABC, find the value of x and calculate the measure of all the angles of the triangle.

Q.

What is the angle between the hour’s hand and minute’s hand of a clock at (i) 1.40 hours, (ii) 2.15 hours? (Use 1° = 60 minutes).

Q.

During the construction of a triangle given its base, a base angle and the sum of other two sides, which of the triangles formed are congruent?

1. $△$ ABC and $△$ AMC
2. $△$ ABC and $△$ ADC
3. $△$ ABC and $△$ AMD
4. $△$ AMC and $△$ AMD

Q. Steps for the construction of a triangle ABC in which AB= 5cm, $\angle A={30}^{\circ }$ and AC-BC=2.5cm is given below. Choose the correct order.

1.Draw another line segment AX, Sufficiently large such that $\angle BAX={30}^{\circ }$
2.Draw the perpendicular bisector of BD and let meet it AX at C.
3.From the segment AX, cut off line segment AD=2.5cm which is equal to (AC-BC). Join AD
4.Draw a line segment AB of length 5cm
5.Join BC

1. 1, 2, 3, 4, 5
2. 2, 1, , 3, 4, 5
3. 4, 1, 3, 2, 5
4. 4, 1, 3, 5, 2

Q.

If the vertex angle of an isosceles triangle is 50°, find the other angles.

Q.

In a triangle ABC, if ∠A = 55° and ∠B = 40°, find ∠C.

Q.

The angles of a triangle are in the ratio 1:2:3. Determine the three angles.

Q.

Suppose ABC is an equilateral triangle. Its base BC is produced to D such that BC = CD. Calculate (i) ∠ACD and (ii) ∠ADC.

Q.

In a triangle ABC, ∠A = 110° and AB = AC. Find ∠B and ∠C.

Q.

In triangle ABC, if BC is base, angle B is 60°, AB-AC=0, what is the value of the angle opposite to side BC in degrees?

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Q. Construct a triangle with 3 cm base and sum of other two sides is 8 cm and one base angle is ${60}^o$.

Q.

Are the triangles below congruent? Give the reason.

Q.

In a right angled triangle, if one of the other two angles is 35°, find the remaining angle.

Q.

Compute the value of x in each of the following figures:

Q.

The angles of triangle are x − 40°, x − 20° and. Find the value of x.

Q.

Choose the correct answer from the given alternative:

In a triangle ABC, ∠A = 80° and AB = AC, then ∠B is _____________.

A. 50°

B. 60°

C. 40°

D. 70°

Q. In the adjacent figure, the bisectors of ∠A and ∠B meet in a point P. If ∠C = 100° and ∠D = 60°, find the measure of ∠APB.

Q.

In a triangle ABC, if 2∠A = 3∠B = 6∠C, determine ∠A, ∠B and ∠C.

Q. How to find an angle on equilateral angle by easy way

Q.

In an isosceles triangle, he vertex angle is twice the sum of the base angles. Find the angles of the triangle.

Q.

Which of the following congruencies could be the test for the construction of triangles where there is base length given, one of the base angles is given and the difference between the other two sides of the triangle are given?

1. RHS Congruency

2. ASA Congruency

3. SSS Congruency

4. None of these

Q.

In a triangle ABC, ∠B = 50° and ∠A = 60°. Suppose BC is extended to D. Find ∠ACD.

Q.

The angles of a triangle are arranged in ascending order of their magnitude. If the difference between two consecutive angles is 10°, find the three angles.

Q.

In △ABC, ∠A = 40° and ∠B = 60°. The longest side is

1. AB

2. CD

3. AC

4. BC

Q. Construct a triangle with 3 cm base and sum of other two sides is 8 cm and one base angle is ${60}^o$.

Q. 24. Two angles of a triangle are (x+40), (x-20) and (1/2x-10). Find the value of x.