Question

2) ∆ABC~∆PQR angleP = 30°, then angle A = ? A) 45° B) 90° C) 30° - D) 60°​

Answer 1

Answer:

The measure of angle A is 30 degree. So option (C) is correct.

Step-by-step explanation:

We know that when two triangles are similar, the corresponding angles o similar triangles are same.

As it is given that, triangle ABC is similar to triangle PQR. So, if angle P is 30 degree then,

$\angle A = \angle P$

$\angle B = \angle Q$

$\angle C = \angle R$

Therefore, the measure of angle A is 30 degree. So option (C) is correct.

$\rule{300}{2}$

Learn about triangle:

• A triangle has three sides or edges.

• A triangle has three angles.

• A triangle has three vertices or corners.

• The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.

• The sum of the length of any two sides of a triangle is greater than the length of the third side.

• There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.

• Area of triangle = 1/2 × b × h. Where, b denotes breadth and h denotes height of the triangle.

• Perimeter of triangle = sum of all sides. i.e. P = a + b + c. Where, a, b and c are sides of the triangle respectively.

Answer 2

Answer:

b) 30°

Step-by-step explanation:

We know that two triangles said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

In given question ∆ABC ~ ∆PQR

Means,

• /_A = /_P
• /_B = /_Q
• /_C = /_R

Similarly,

• AB/PQ = BC/QR = AC/PR

Also given that /_P is 30°. As from similar triangle property (& as per given question).

→ /_P = /_A

Therefore,

/_A = 30°

Hence, the value of /_A is 30°.

Therefore, the correct option is b) 30°.

Some of the similar triangle properties are:

1. Same shape but varies in size
2. Same corresponding ratio
3. Equal corresponding angles