Find m∠BAC and m∠DAB in the figure shown below.
![Find mBAC and mDAB in the figure shown below class=](https://us-static.z-dn.net/files/dda/91ddd809fa9bfa783ab387a4a05c6760.png)
Answer:
m∠BAC = 80° and m∠DAB = 100°
Step-by-step explanation:
We are given, m∠DAE = 80°.
We have, ∠DAE and ∠BAC are vertical angles.
Since, 'Measure of vertical angles are equal'.
So, m∠BAC = m∠DAE = 80°.
Thus, m∠BAC = 80°.
Moreover, 'Sum of measures of angles in straight line is 180°'.
So, m∠DAB + m∠BAC = 180°
i.e. m∠DAB = 180° - m∠BAC
i.e. m∠DAB = 180° - 80°
i.e. m∠DAB = 100°
Thus, m∠DAB = 100°