Question

Find the value of
Unknown angles
​

Answer 1

Step-by-step explanation:

(2x+10)°+(2x+20)°+(x+70)° = 180° [Angle sum property of triangle]

2x+10+2x+20+x+70 = 180°

2x+2x+x+10+20+70 = 180°

5x+100 = 180°

5x = 180-100

5x = 80

x = 80/5

x = 16

(2x+10)° = 2×16+10

= 32+10

= 42°

(2x+20)° = 2×16+20

= 32+20

= 52°

(x+70)° = 16+70

= 86°

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Answer 2

Answer:

42°, 52°, 86°

Step-by-step explanation:

As we know, to find the sum of interior angle of polygon, we use (n-2) * 180

[n = sides]

⇒ (n-2) * 180

⇒ (3 - 2)*180

⇒ 180°

∵ all interior angles of a Δ sums 180.

⇒ (2x+10)+(2x+20)+(x+70)= 180

⇒ 5x + 100 = 180

⇒ x = 16

• (2x+10) : 2 * 16 + 10  = 42

• (2x+20) : 2 * 16 + 20  = 52

• (x+70) : 16 + 70  = 86