Question

Find the alternative angles in the figure ​

Answer 1

Answer:

x = 30°

y = 50°

Step-by-step explanation:

SUM OF ALL ANGLES IN TRIANGLE IS EQUAL TO 180°

TRIANGLE, ADB, = x + 90° + 60°

180° = x + 150°

180° — 150° = x

30° = x

x = 30°

TRIANGLE ADC, = y + 90° + 40°

180° = y + 130°

180° — 130° = y

50° = y

y = 50°

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Answer 2

$40 + 90 + y = 180$

(Angle sum property of triangle )

$130+ y = 180$

$y = 180 - 130$

$y = 50$

Now let us find angle x as we have found angle y .

$60+50+x=180$

$110+ x = 180$

$x = 180-110$

$x = 70$

As we have 40 + x is a complete angle . Let's find x .

70 - 40 = 30

So angle X is 30 and y is 50