Answers for Sample Work U1 (Note I suggest reading the "Step By Step Solution" because it will help you in the long run)
1:Adjacent
2:corresponding
3:alternate
4:vertical
5:140
6:50
7:scalene, obtuse triangle
8:30
9:113.04
Step By Step Solution:
(1) <1 and <2 are adjacent angles because they fall on the same line and have a common vertex
(2) <1 and <3 are corresponding angles because they fall on the corresponding corners of the transversal intersecting parallels lines I and M
(3) <2 and <6 are alternate interior angles.
because they fall on opposites sides of the transversal T WITCH INTERSECTS PARALLEL LINE I AND M and they are on the interior of these complementary lines.
)4_ <3 and <5 are vertical because they are opposite angles of lines m and t at their intersection
Calculate <2 = 40Degrees
Let <A be the supplement of <2 then
<2+<A=180Degrees because sum of supplementary angles is 180degrees
=> <A =180D -40D =140D
conclusion
(5)Supplement of <2 is 140D
calculate
<2=40D
Let <B be the complement of <2 then
<2 + <B = 90D(Because sum of complementary angles is 90D)
=> <B = 90D -40D =50D
Conclusion
(8) Given Figure is a trapezium
Area of a trapezium
A= 1/2(sum of parallel sides) X height
=> A =0.5(5+10)(4)=30m^2
Calculate
Radius of the circle is 6cm
Hence
Area+
(radius)^2 =3.14 x 36 =113.04m^2
Conclusion
(9) Area of the circle is 113.04m^2