Can someone please help me with these problems I don't know how to do them. Thank you

Question

asked Nov 24, 2019 34.0k views

1 Answer

Jose Bagatelli · Answer 1 · 2019-11-30T21:30:14+0000

$\bold{FOR \: 1st \: image }$

By straight line angles property,

▶60 + 4x +20 =180

▶80 +4x =180

▶4x = 180 -80

▶4x = 100

x = 25

So, Second angle

▶4 ×25 +20

▶100 + 20

▶120

$\bold{FOR \: 2nd \: image }$

3x + x =116

4x=116

x = 29

other angle = 3 ×29

=87

$\bold{FOR \: 3rd \: image }$

ANGLE CAB + ANGLE ACB = 90

2x + x + 30 =90

3x + 30 =90

3x = 90 - 30

3x= 60

x=20

So, angle CAB = 2 ×20 = 40