Question

Could someone please help me

Answer 1

X= 70

Z= 20

y= 30°

Explanation:

Finding X:

Sum of angle in a straight line is 180

Therefore X = 180-110

Finding z:

Sum of angle in triangle is 180, and it’s a right angled triangle (90°)

Z= 180-(x+90)

Z= 180-( 70+90)

Finding y, look at the big triangle ABC:

There’s a right angle and <C is 40°,

Therefore <B is 180-(40+90)= 50°

<B= y + z

50° = 20° + y

y= 30°

Answer 2

`\huge \: x = 7 {0}^(o) \\ \: \huge \: y = 3 {0}^(o) \\ \huge z = {20}^(o)`

Explanation:

to understand this

you need to know about:

• triangles
• equation
• PEMDAS

tips and formulas:

• a straight line contains 180°
• a triangle contains 180°

let's solve:

equation for x

according to the question

110°+x=180°

x=180°-110°

x=70°

equation for y

according to the question

`11 {0}^(o) + {40}^(o) + y = 18 {0}^(o)`

`15 {0}^(o) + y = 180^(o)`

`y = 18 {0}^(o) - 15 {0}^(o)`

`y = 3 {0}^(o)`

equation for z

according to the question

90°+x+z=180°

90°+70°+z=180° (since x=70°)

160°+z=180°

z=180°-160°

z=20°