In #triangleABC#, the interior angle at A is #51^circ# and the exterior angle at B is #119^circ#. The interior angle at C measures what?

Answer 1

Interior angle at C measures #68^@#

In a triangle sum of all the interior angles is #180^@#
Now interior angle #/_A=51^@#,
as exterior angle #B=119^@#, interior angle is #180^@-119^@=61^@#
Hence interior angle at #C# measures #180^@-51^@-61^@=68^@#

Alterative method

As any exterior angle is equal to sum of both the interior opposite angles, exterior angle at #B# is equal sum of interior anglesat #A# and #C#
hence #119^@=51^@+m/_C#
and #m/_C=119^@-51^@=68^@#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

The exterior angle at B is supplementary to the interior angle at B. Therefore, the interior angle at B is (180^\circ - 119^\circ = 61^\circ).

In a triangle, the sum of the interior angles is always (180^\circ). So, to find the interior angle at C, you subtract the angles at A and B from (180^\circ).

[180^\circ - 51^\circ - 61^\circ = 68^\circ]

Therefore, the interior angle at C measures (68^\circ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7