Answer :

The possible measures of angle B and C are 90 degrees and 50 degrees respectively.

What is right angled triangle?

A right angled triangle can be defined as a triangle having one of its angles as 90 degrees.

From the information given, we have that;

  • The triangle is labelled ABC
  • Angle A is 40 degrees
  • Angle B is the side pointing towards C = 90 degrees

Sum of the angles in a right angled triangle is 180 degrees

Then, we have;

m∠a + m ∠b + m ∠ c = 180

40 + 90 +  m ∠ c = 180

m ∠ c = 180 - 130

m ∠ c = 50 degrees

Thus, the possible measures of angle B and C are 90 degrees and 50 degrees respectively.

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