X^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0
(x-3)(x+3)(x-2)(x+2) = 0
x = -3, -2, 2, 3
Answer:
Thus, the value of x in the given triangle is 55°
Step-by-step explanation:
Given - Dimensions of triangle and angles
of triangle
Find - Value of x
Solution - The value of x in the given triangle is 55°.
As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.
Thus, the mathematical expression of all the angles of a given triangle will be -
x + x + 80 = 190
2x + 80 = 190
2x = 190 - 80
2x = 110
x = 110/2
x = 55°
.
Answer:
∠ H = ∠ J = ∠N = ∠ M
Step-by-step explanation:
Triangle MNP is similar to triangle HJK and both triangles are isosceles triangles.
If the angle P is greater than 90 degrees, then angles M and N are the equal angles of the isosceles triangle MNP.
Hence, angle M = angle N
Now, as Δ MNP and Δ HJK are similar so, ∠ M = ∠ H, ∠ N = ∠ J, and ∠ P = ∠K
Again ∠ H = ∠ J as Δ HJK is isosceles.
Therefore, ∠ H = ∠ J = ∠N = ∠ M (Answer)
