For ΔABC, the measure in degrees of angles A, B, and C are 60, 55, and x + 20 respectively. What is the value of x?
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Question:
The image of the question is attached below.
Answer:
x = 40
Solution:
Given ΔVDG ΔVNG.
DG = 207, NQ = 138, GQ = 60, QV = x
In two triangles are similar, then the measures of the corresponding sides are in proportional to each other.
Do cross multiplication, we get
Divide by 207 on both sides of the equation, we get
⇒ x = 40
⇒ QV = 40
Hence the value of x is 40.
