Question

Find the measure of

Answer 1

ok

we can make a triangle with a line between E and C, we know the sum of the angles of a triangle are 180 and we can use it

the green angles are equivalents so both are 65

the upper green angle measure 65 degrees and the line RS have 180 degrees

the other side of the green angle measure

`180-65=115`

but the new red line have an angle of 90 degrees then you can substract 90 degrees and know the blu Angle or A wich is

`115-90=25`

so, 25 is the first angle of the triangle

the same for the yellow angles

to find the rest of the angle you rest the angle from 180 and late rest the 90 of the rigth line

`180-60-90=30`

so, 30 is the second angle of the triangle

the sum of the angles triangle is 180

we have two triangles so

`25+30+x=180`

where x is the ?

`\begin{gathered} x=180-25-30 \\ x=125 \end{gathered}`

missing angle is 125degrees

the angle B is opposite the missing angle so they are equals

x=125

to find A and D with the same method because pass a line with 180 degrees so you cant take 180 degrees and substract the angle yo fin de other side D or A

`\begin{gathered} A=180-60 \\ A=120 \end{gathered}`
`\begin{gathered} B=180-65 \\ B=115 \end{gathered}`