Page 149 - Math Smart - 7
P. 149
Example 1
In
0 triangle STU, aSTU = 65° and ^SUT=SO°.
fmd^TSU.
Solution
Z7"5t;=180°-65°-80°
= 35°
In
0 triangle XYZ, ZXYZ= 125° and ZYXZ=2S°.
Find ZXZK
Solution
v^XZy=180°-28°-125'
= 27°
0 triangle -460, ZBAC=S2° and ZACB is a right angle.
In
Find AABC
Solution A right triangle has one
right angle. The other two
^-406=90°
acute angles add up to be
Z7\fiC=90°-52^ 90°.
= 48°
0 DEFls an equilateral triangle. Find the sum of ZfDFand ZDFE.
Solution ^
Each angle of an equilateral triangle = ^ degrees = 60 An equilateral triangle
Sum of /.FDFand ZDFE= 60° + 60° has three equal angles
= 120° and three equal sides.
Each angle is 60°.
The sum of ZfDFand ADFE Is 120°.

