Answer:
36
Step-by-step explanation:
2 *3 sqare root 3 * 12
Solving gives:
6 sqare root 36.
sqare root 36 = 6
2 * 6 * 3
So our answer is 36.
∠1 + ∠3 + 90° = 180°
∠1 + ∠3 = 90°
∠3 = ∠4 (vertically opposite angles)
∠1 + ∠4 = 90°
Therefore, the answer is ∠1 + ∠4
Answer:
28
Step-by-step explanation:
I draw the two triangles, see the picture attached.
As you can see, angle 1 and 2 are vertically opposite angles because they are formed by the same two crossing lines and they face each other.
Angles <span>ABQ and QPR, as well as angles BAQ and QRP, are alternate interior angles because they are formed by </span><span>two parallel lines crossed by a transversal, and they are inside the two lines on opposite sides of the transversal.</span>
Hence, Allison's correct claims are:
1 = 2 because they are vertically opposite angles. BAQ = QRP because they are alternate interior angles. Therefore Allison, in order to prove her claim, can use the AA similarity theorem: if two angles of a triangle are congruent to two angles of the other triangle, then the two triangles are similar.