Question

What is the answer to this? Justify your reasoning, please!

Answer 1

the answers are

m<1 = 65

m<2=25

m<3=115

Explanation:

first of all in the triangle

the angles are 90, 25 and an unknown(let be x)

so,

triangle=sum of all sides

180=90+25+x

180-115=x

x=65

now,

to find m<2

m<2+65=90

m<2=25

then,

to find m<1,

m<1+m<2=90(sum of 2 opp interior angle equals the exterior angle)

or, m<1+25=90

m<1=65

again

for m<3,

180(straight line) +m<2 +m<3 =360(complete turn)

180+25+m<3=360

m<3 =360-205

m<3 =155