Question 8 (5 points)
1 answer:
Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.
In triangle ABC, using exterior angle theorem, we get
The value of x is 105 degrees.
Therefore, the correct option is C.
You might be interested in
Answer:
42.64°
Step-by-step explanation:
Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.
From the diagram attached,
sinθ = opposite/adjacent
sinθ = 4/11
θ = sin⁻¹(4/11)
θ = 21.32
Therefore, from the diagram,
The smaller angle of the rhombus = 2θ
The smaller angle of the rhombus = (2×21.32)
The smaller angle of the rhombus = 42.64°
