Question

Finding Angles 11 Consider the figure below where li lo and are cut by transversals tị and to. Find the measure of angles d, a, o and p. tz 1 4 a b n 12 2. 12 elf 869 3 8 110° r S des

Answer 1

a=d=110

O=94

m=p=86

Explanation

Step 1

as lines are paralle, the angle d

$d=110$

Step 2

when two line intersect ,vertical angles that are equal are formed, then

a=d=100

$a=110$

Step 3

then

m= 86

Step 4

purple angle= o+m

$\begin{gathered} m+o=180 \\ 86+o=180 \\ o=180-86 \\ o=94 \end{gathered}$

Step 5

green angle= 180

green angle=o+p

$\begin{gathered} 180=o+p \\ 180=94+p \\ 180-94=P \\ p=86 \end{gathered}$

I hope this helps you