Question

1. △abd≅△cdb. find x.
2. △abd≅△cdb. fi
3. △abc≅△adc. find y.
4. △pqr≅△mnr find
5. △wxv≅△zyv. find a.
6. △wxy≅△zyx. find p

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle ABD\cong\triangle CDB\), then \(\angle ADB=\angle CBD\) (corresponding angles of congruent triangles are equal). So, \(4x - 35=2x+17\).

Step2: Solve the equation

Subtract \(2x\) from both sides of the equation: \(4x-2x - 35=2x-2x + 17\), which simplifies to \(2x-35 = 17\).
Add \(35\) to both sides: \(2x-35 + 35=17+ 35\), so \(2x=52\).
Divide both sides by \(2\): \(x=\frac{52}{2}\).

Answer:

\(x = 26\)