Using the information given in the figure, the values of x and y are ___________

Sail E0 Webinar

Question

Using the information given in the figure, the values of x and y are ___________.

Using The Information Given In The Figure, The Values Of X A...

Options:

A . x=56°,y=76∘

B . x=48∘,y=56∘

C . x=48∘,y=76∘

D . x=76∘,y=56∘

Answer: Option B
:
B
Consider

△ A B C

and

△ A D C

Using The Information Given In The Figure, The Values Of X A...

(i) AB = CD ...... (given)
(ii) BC = DA...... (given)
(iii) AC = AC ...... (common)

∴ △ A B C ≅ △ C D A

... (SSS Postulate)

\Rightarrow ∠ A B C = ∠ C D A

..... (CPCT)

∴ x = 48^{\circ}

\Rightarrow ∠ B C A = ∠ D A C

......(CPCT)

∴ y = 56^{\circ}

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. If lengths of all the sides of two triangles are same, then the triangles are congruent.....

Question 2. In ΔABC and ΔPQR , AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm, QR = 5 cm, PR = 6 cm, then which of the following....= 6 cm, then which of the following is true?

Question 3. Consider the figure below:If AB = 5 cm; QR = 7cm; then find the value of AC (in cm.), if the perimeter of △ABC is 18cm....AC (in cm.), if the perimeter of △ABC is 18cm.___

Question 4. All the following are criteria for measuring the congruency of triangles except the _____.....

Question 5. If ΔABC≅ΔPQR, then AB is equal to ___. ....

Question 6. If ΔDEF≅ΔBCA , then the angle of ΔBCA that corresponds to ∠E &....to ∠E is _______ and side FD corresponds to side ________.

Question 7. If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. Which criterion did you use? [....pair of corresponding parts. Which criterion did you use? [2 MARKS]

Question 8. In the given figure; ∠1=∠2 and AB = AC. Prove that: [4 MARKS](i) ∠B=∠C(ii) BD = DC(iii) AD is perpendicular to....MARKS](i) ∠B=∠C(ii) BD = DC(iii) AD is perpendicular to BC.

Question 9. In the figure, the two triangles are congruent. The corresponding parts are marked. Complete the congruent statement Δ....corresponding parts are marked. Complete the congruent statement ΔRAT≅ [1 MARK]

Question 10. In the isosceles ΔABC with AB = AC. E and O are the midpoints of AB and AC respectively. 2OD = DE and ∠OCD = 70o. P....and ∠OCD = 70o. Prove using congruency that ∠EAO = 70o. [4 MARKS]

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Chapter 3.1 : INTRODUCTION Chapter 3 : Sinter Plant SAIL E0 - GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 Chapter 2 : Coke Ovens and Coal Chemicals SAIL E0 - GPOE/GPA 2024

Chapter 1.1 : INTRODUCTION Chapter 1 : Raw Material Handling Plant SAIL E0 - GPOE/GPA 2024

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

DSP Combined 1 Free Revision Test SAIL JO E-0