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Chapter 3: Q10 (page 96)

Find the value of x

Short Answer

Expert verified

The value of x is 105°.

Step by step solution

01

Step 1. State the concept used

Exterior angle Theorem states that the exterior angle of a triangle is equal to the sum of two opposite interior angles that is., ∠a+∠b=∠d.

02

Step 2. Observe the diagram

The variable x is unknown in given diagram wherein x is the exterior angle and the two opposite angles are 70°and 35°.

03

Step 3. Find x.

Use the exterior angle theorem to set up an equation for the given triangle,

x=70°+35°

Simplify the equation for x, x=105°

Therefore, the value of x is 105°.

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