Solve this: Q 33 In the figure below, EF ∥GH If GI is the transversal, - Maths - Practical Geometry

Question

Solve this:
Q 33 In the figure below, E F ¯ ∥ G H ¯  
  I f   G I ¯ is the transversal, ∠ I G H = y
°   a n d   ∠ F I G = 3 y ° , then the
ratio of the supplement of y to its complement is

Abhishek Jha · Accepted Answer

Dear student,
Here is the solution of your asked query:
Since, EF∥GH and GI is the transversal, so we have;∠FIG+∠IGH = 180°         {Angles on the same side of transversal}⇒3y+y=180°⇒4y=180°⇒y=1804=45°Supplement of y = 180°-45°=135°Complement of y = 90°-45°=45°So, the ratio of supplement of y to its complement = 13545=31=3:1
Regards

Solve this: Q.33. In the figure below, E F ¯ ∥ G H ¯ . I f G I ¯ is the transversal, ∠ I G H = y ° a n d ∠ F I G = 3 y ° , then the ratio of the supplement of y to its complement is

Solve this:
Q.33. In the figure below, $\bar{E F} ∥ \bar{G H} . I f \bar{G I}$ is the transversal, $∠ I G H = y ° a n d ∠ F I G = 3 y °$ , then the ratio of the supplement of y to its complement is