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Chapter 4: Q13. (page 161)

Complete.

If ES炉鈮�ET炉, m鈭�1=75, m鈭�2=3x, then x=?炉.

Short Answer

Expert verified

The value of x is 25.

Step by step solution

01

- Observe the given diagram.

The given diagram is:

02

- Write the theorem 4-2.

The theorem 4-2 states that if two angles of a triangle are congruent, then the sides opposite to those angles are congruent.

03

- Description of step

As, ES炉鈮�ET炉, therefore the angles opposite to the sides ES and ET are also equal.

Therefore, it can be noticed that 鈭�1=鈭�2.

04

- Find the value of x.

As,鈭�1=鈭�2, therefore it can be obtained that:

鈭�1=鈭�275=3x753=x25=x

Therefore, the value of x is 25.

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Most popular questions from this chapter

For the following figure, can the triangle be proved congruent. If so, what postulate can be used?

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