Question

find the measure of angles x and y​

Answer 1

Answer:

Since x lies on a straight line and angles of a straight line add up to 180°, x=180°-65°

x=115°

Since all angles of a triangle add up to 180°, y+30°+115°=180°

y=180°-145°

y=35°

Answer 2

Answer:

x=115° ; y=35°

Step-by-step explanation:

∠ABC + ∠DBC = 180° (Angles in linear pair)

x + 65° = 180°

x = 180°-65°

x = 115°

In ∆ABC,

∠A+∠B+∠C=180 (sum of measures of all the angles of the triangle is 180°)

y+115°+30°=180°

y+145°=180°

y=180°-145°

y=35°