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Basile [38]
3 years ago
10

Finding angle measure using triangles ​

Mathematics
1 answer:
Rainbow [258]3 years ago
3 0

x = 58°

<u>Explanation:</u>

According to the diagram, lines HI and JK are parallel to each other.

∠AHI = 60°

∠JKI = 62°

∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.

So,

∠JKI = ∠HIA = 62°

In ΔHIA,

∠AHI + ∠HIA + ∠IAH = 180°

60° + 62°+ x = 180°

122° + x = 180°

x = 180° - 122°

x = 58°

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