Question

In figure.6 if AB||CD then find angle 1 and angle 2​

Answer 1

Step-by-step explanation:

In Fig. 5

∠1 + ∠2 = 180° [ Linear Pair ]

3x + 5 + 7x + 5 = 180

10x + 10 = 180

10x = 170

x = 17

∠ 1 = 3*17 + 5 = 56°

∠ 2 = 7*13 + 5 = 124°

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In Fig. 6

We know that Alternative Angle are equal , so

∠1 = 68°

∠2 = 75°

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Answer 2

in figure 5

angle 1 + angle 2 equals to 180 degree

(linear pair )

so

$3x + 5 + 7x + 5 = 180 \\ 10x = 170 \\ x = 17$

so ✓2=124°

now ✓1=54°

in figure 6

✓2= 75°

✓1=68°. ( alternative angles)

hope it helps you ✌️✅✅✅