Question

M∠BAC = ?
A.) 15
B.) 30
C.) 45
D.) 60

Answer 1

The ratio of angles is directly proportional to the ratio of sides

• <B=90°

The ratio of sides here is 1:1/2:1

Now

• m<BAC be x

`\\ \sf\longmapsto 2x+x=90°`

`\\ \sf\longmapsto 3x=90`

`\\ \sf\longmapsto x=30`

Answer 2

• B.) 30°

Explanation:

We know from the property of 30°x60°x90° right triangle:

• The hypotenuse is twice the leg which is opposite to 30 angle.

We see AC = 2*BC, therefore:

• m∠BAC = 30°

Correct choice is B