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Find x. Finding an angle measure given extended triangles

Find x. Finding an angle measure given extended triangles-example-1
User Vrac
by
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1 Answer

6 votes

Answer:

x = 44°

Explanation:

We can take angles as,

→ x = ?

→ y = 52° (opposite angles are equal)

→ z = ?

The value of z will be,

→ z + 96° = 180°

→ z = 180° - 96°

→ [ z = 84° ]

Now the value of x will be,

→ x + y + z = 180°

→ x + 52° + 84° = 180°

→ x + 136° = 180°

→ x = 180° - 136°

→ [ x = 44° ]

Hence, the value of x is 44°.

User DaveTheAl
by
4.3k points