Question

If m∠BAC = 98°, what is m∠BDC?

Answer 1

To find m∠BDC, we need to use the fact that the sum of angles in a triangle is 180°.

Step-by-step explanation:

To find m∠BDC, we need to use the fact that the sum of angles in a triangle is 180°. Since m∠BAC = 98°, we have:

m∠BAC + m∠BDC + m∠CDB = 180°

Substituting the given value, we have:

98° + m∠BDC + m∠CDB = 180°

Simplifying the equation, we have:

m∠BDC + m∠CDB = 82°

Since ∠BDC and ∠CDB are adjacent angles, their sum is equal to 180°. Therefore, we can write:

m∠BDC + m∠CDB = 180°

Substituting the equation above, we get:

82° + m∠BDC = 180°

Solving for m∠BDC, we have:

m∠BDC = 180° - 82°

m∠BDC = 98°