Question

the question will 3rd question ​

Answer 1

❁Required Answer :

Adjacent angles are congruent .

a-5 = 55

a = 55+5 = 60

$\fbox{a = 60}$

b -15= 35

b = 35 + 15 = 50

$\fbox{b = 50}$

Therefore ,correct option is :

a) 50°,30°

b)50°,40°

c) 60°,50°✔

d) none.

Extra information:

• When the sides and angels are equal, it said to be congruent.
• There are four criteria:

1. SSS criteria
2. SAS criteria
3. ASA criteria
4. RHS criteria.

• SSS criteria stands for triple sides
• SAS criteria stands for side angle side
• ASA criteria stands for angle side angle
• RHS criteria stands for right angle hypotenuse side.

Answer 2

⇒ Given:

ΔABC ≅ ΔPQR

⇒ To Find:

The value of a and b

⇒ Solution:

It is given that ΔABC and ΔPQR are congruent to each other. Therefore:

∠B = ∠Q [CPCT]

∠C = ∠R [CPCT]

First, we can find value of a in ∠B.

We know that ∠B = ∠Q

a - 5° = 55°

a = 55 + 5

a = 60°

Next, we can find the value of b in ∠R.

∠R = ∠C

b - 15° = 35°

b = 35 + 15

b = 50°

Hence the value of a is 60° and b is 50°.

The required correct option is Option is C: 60° and 50°.

Knowledge Bytes:

→ Congruency in triangles

Two triangles are said to be congruent when any three parts of one triangle is equal to the three parts of the other triangle. The 4 congruency rules are:

✳ ASA congruency

✳ SAS congruency

✳ SSS congruency

✳ RHS congruency

→ CPCT

CPCT refers to corresponding parts of congruent triangles. According to this property, when two triangles are congruent, their corresponding parts are also congruent.