Question

Find the value of each of the missing angles

Answer 1

Explanation:

In the given figure as we know that the sum of 3 angles of a triangle is 180degree. and as we know that

75+70+a=180

so, a= 35

so if a=35

then, 70+a=105

now as we know that a+95+b=180

so, a=35

35+90+b=180

b=180-125

b=55

and if a=35 ,b=55 so , a+b+d=180

here, 35+55+d=180

d=90

now the value of c=180-(70+d)

c=180-70-90

now the value of c=20

so the value of a=35

b=55

c=20

d=90

Answer 2

a = 35°

b = 50°

c = 85°

d = 25°

Explanation:

We know that angles in a straight line are added up to 180°.

Accordingly,

• 95 + c = 180

Subtract 95 from both sides.

c = 180 - 95

c = 85°

• 75 + a + 70 = 180

Combine like terms.

a + 145 = 180

Subtract 145 from both sides.

a = 180 - 145

a = 35°

Also, we know that the sum of the interior angles in a triangle is added up to 180°.

Accordingly,

• c + d + 70 = 180

Replace c with 85.

85 + d + 70 = 180

Combine like terms.

155 + d = 180

Subtract from both sides.

d = 180 - 155

d = 25°

• a + b + 95 = 180

Replace a with 35.

35 + b + 95 = 180

Combine like terms.

130 + b = 180

Subtract 130 from both sides.

b = 180 - 130

b = 50°