ver.1.6

How many degrees is angle x?

A normal-level "Angle" problem.The angles of a triangle add to 180° because cutting them off and lining them up makes a straight line.

Angle ★★★☆☆☆ How many degrees is angle x? 50° 60° x ABC

Hints

  1. The three angles of the triangle are coloured differently.
  2. An angle is a size, so moving it changes nothing. Gather all three at one point below.
  3. The triangle is gone; here are just the three angles, laid out large. No gaps, no overlaps — one straight line. A triangle's three angles always total 180°.
  4. The two we know are 50° and 60°. Together they already use up 110° of this line.
  5. The rest of the 180° line, after removing those two, is angle x.
  6. 180 − 110 gives the answer.

Answer 70°

More "Angle" problems

Browse by idea

Angle Problems (18) Standard Problems (42)

See all 100 problems