wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the value of 'x' and 'y' respectively if ΔBAC ≅ ΔQRP


A
15° and 14
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
25° and 14
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
14° and 15
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
14° and 25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 25° and 14
Given: ΔBAC ≅ ΔQRP
We know that, when two triangles are congruent to each other, it means all angles and all sides of triangle will be equal to other triangle.
Hence, in figure ∠A = ∠R and AB = RQ

Since, ∠A = ∠R
On putting the values, we get
⇒ 2x + 15° = 5x° - 60°
⇒ 60° + 15° = 5x° - 2x°
⇒ 75° = 3x°
⇒ x° = 75°3 = 25°
⇒ x = 25

Now, AB = RQ
⇒ (3x + 10) cm = (5y + 15) cm
On putting the value x = 25, we get
⇒ (3 × 25 + 10) = (5y + 15)
⇒ (75 + 10) = (5y + 15)
⇒ 85 = (5y + 15)
⇒ 85 - 15 = 5y
⇒ y = 705 = 14

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Side-Angle-Side Congruency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon