Question

in figure 9 BAC is equal to 90 degree ABC is equal to 65 degree and AD|BC . find x and y​

Answer 1

To find angle y, we can use Angle Sum Property (Sum of 3 angles in a triangle is always 180*)

∠CAB + ∠ABC + ∠y = 180*

90* + 65* + ∠y = 180*

∠y = 180* - 90* - 65*

∠y = 25*

Now, to find ∠x, we can once again use the Angle Sum Property

∠ABD = 65*

∠ADB = 90*

Then.

∠ABD + ∠ADB + ∠x = 180*

65* + 90* + ∠x = 180*

∠x = 180* - 90* - 65*

∠x = 25

Therfore, ∠x = 25* and ∠y = 25*