If an exterior angle of a triangle is 100º and difference of its two interior opposite angles is
10°. Then what are the interior angles of the triangle
Answers
Step-by-step explanation:
The square root of 3364 is 58.
Step-by-step explanation:
Given : Number 3364.
To find : The square root of the number using prime factorization ?
Solution :
First we factor the number,
3364=2\times 2\times 29\times 293364=2×2×29×29
Pairing in two to get the perfect square,
3364=2^2\times 29^23364=2
2
×29
2
3364=(2\times 29)^23364=(2×29)
2
3364=(58)^23364=(58)
2
Taking square root both side,
\sqrt{3364}=58
3364
=58
Therefore, The square root of 3364 is 58.3468594977
Answer:
A-50, B-50, C-80
Step-by-step explanation:
Using the theorem that if the side of a triangle is produced then the interior angle is equal to the sum of two interior opposite angles of the triangle.
Let ΔABC be a triangle where the side BC is produced.
By the theorem we have
∠A+∠B=100
o
…………..(1)
It is given that the interior opposite angles are equal i.e., ∠A=∠B.
∴ Equation (1) becomes
2∠A=100
o
⇒∠A=50
o
⇒∠B=50
o
Using angle sum property of a triangle,
Sum of all angles of a triangle =180
o
⇒∠A+∠B+∠C=180
o
⇒100+∠C=180
o
[from (1)]
⇒∠C=180
o
−100
o
⇒∠C=80
o
.
Hence ∠A=50
o
∠B=50
o
∠C=80
o
.