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Whats the angle of J

Whats the angle of J-example-1

2 Answers

1 vote

Answer:

∠J = 59 °

Explanation:

Its two angle is equal so, it is isosceles triangle.

so, ∠J and ∠H are same.

  • We know that sum of angles of triangle is 180°.

∠J = ∠H .. ( in isosceles triangle two side are equal).

so, ∠J = ∠J

62° + ∠J + ∠ J = 180°

combine like terms

62° + ∠2J = 180°

Subtract 62 from each side

62° - 62° + ∠2J = 180° - 62°

∠2J = 118°

Divide each side by 2

∠2J/2 = 118° / 2

∠J = 59 °

Verification :-

∠J + ∠H + 62° = 180°

59° + 59° + 62° = 180°. .( ∠J =∠H - proved above)

118° + 62° = 180°

180° = 180°

LHS = RHS

User Fdreger
by
5.6k points
3 votes

Answer:

<J = 59

Explanation:

Since this is an isosceles triangle, <J and <H are the same

The sum of the angles in a triangle are 180

62+ <J + <H =180

62+ <J + <J = 180

62 + 2 <J =180

Subtract 62 from each side

2 < J = 180-62

2 < J = 118

Divide by 2

<J =118/2

<J = 59

User NavaRajan
by
6.2k points