Practice30Create account

A line through vertex A of triangle ABC is drawn parallel to BC. It makes angles of 52° with AB and 64° with AC. Find ∠BAC.

Competition practiceGeometry
  • A64°
  • B52°
  • C116°
  • D74°

Step-by-Step Solution

By alternate angles ∠° and ∠°, so ∠BAC = . (The three angles at A on the straight line give the same result.)
Answer: A) 64°

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Geometry practice questions

More Geometry practice

In triangle ABC, ∠A : ∠B = 2 : 3 and ∠C exceeds ∠A by 40°. The bisector of ∠C meets AB…A triangle has sides 10 cm, 14 cm and 18 cm. Find the perimeter of the triangle formed…Corresponding sides of two similar triangles are 6 cm and 9 cm. The smaller triangle has…At a certain time of day, a boy 1.8 m tall casts a shadow 2.4 m long. At the same moment…ABC is a right triangle with ∠B = 90°, AB = 15 cm and BC = 20 cm. BD is drawn…