Similar figures are two or more given figures that have some <em>common</em> <u>properties</u>. The <u>answers</u> to the questions are;
14. m<WYZ =
15. m<ACB =
Two or more figures are said to be <u>similar</u> if they have some common <em>properties</em>. Note that <u>similar</u> figures may not be <u>congruent</u>.
Thus, the solutions to the questions can be determined as follows:
14. Comparing WYZ and VXYZ, we can deduce that:
<WYZ + <YVX = (sum of angles on a straight line))
So that;
(16x - 3) + (3x - 7) =
19x - 10 =
19x =
x =
=
Then,
m<WYZ = (16x - 3) = (16(10) -3)
=
The measure of angle WYZ is .
15. (11x - 2) = (6x + 13) (<em>similarity</em> property)
11x - 6x = 13 + 2
5x = 15
x = 3
So that;
m<ABC = (6x + 13) = (6(3) + 13)
=
m<ABC =
But,
m<BAC + m<ABC + m<ACB = (sum of angles in a triangle)
+
+ m<ACB =
m<ACB = - 93
=
m<ACB =
The measure of angle ACB is .