If m∠BOA

Question

is 180°
and m∠BOC
is 110°
, what is the measure of ∠COA
?(1 point)
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Remaining Attempts : 3

Answer 1

To find the measure of angle ∠COA, we can use the fact that the sum of angles around point O is 360°. Given that:

• m∠BOA = 180°
• m∠BOC = 110°

We can express the relationship as follows:

\( m∠BOA + m∠BOC + m∠COA = 360° \)

Substituting the known values:

\( 180° + 110° + m∠COA = 360° \)

Combining the angles:

\( 290° + m∠COA = 360° \)

Now, we can solve for m∠COA:

\( m∠COA = 360° - 290° = 70° \)

Therefore, the measure of ∠COA is \( \boxed{70°} \).