Answer:
m∠1 = 90°
m∠2 = 35°
m∠3 = 55°
Step-by-step explanation:
Find the diagram attached
From the diagram:
[tex]m<3+m<4=90 (complementary \ angles)\\[/tex]
Given that <4 = 35°
[tex]m<3 = 90 - m<4\\m<3=90-35\\m<3=55^0[/tex]
The sum of the angle on a straight line at point A is 180°. Hence:
[tex]90+m<1 =180\\\m<1 = 180 - 90\\m<1=90^0[/tex]
The sum of angle in the triangle ABC is 180°, hence;
[tex]m<1+m<2+m<3=180\\90+m<2+55=180\\m<2+145=180\\m<2=180-145\\m<2=35^0[/tex]
