Question

3. In the figure given alongside, x: y = 2:3 and ZACD = 130°. Find the values of x, y and z. Hint. Let x = 2t and y = 3t. Then, 2t +3t = 130=t= 26. B​

Answer 1

Answer:

x=52°, y=78° and z=50°

Step-by-step explanation:

Let the ratio be 2a and 3a.

2a + 3a = 130 degrees (exterior angle-sum of two opposite interior angles)

5a = 130 degrees

a=26°

x=2a=2*26°=52°

y=3a=3*26°=78°

z+130°=180°(angles on a straight line)

z=180°-130°

z=50°

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