Question

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Answer 1

Answer:

8.the measures of ∠1, ∠2, ∠3, ∠4, ∠5 and∠6 are 75° each.

9. the measures of x and y are both measure 36°

Step-by-step explanation:

8. if we see carefully, we can see that both the angles the angle names (5x-70°) and 3x have same measures. so if 5x-70°=3x then 2x=70° as 5x-3x=2x

now we can easily find measure of 3x as 2x=70°, 1x=35° then 3x=35°*3=105°

now that 3x=105° and we can see that both the angles 3x and 1 are forming 180° so 1=180°-105°=75° and all other angles ∠2,∠3,∠4,∠5 and ∠6 have same measures as ∠1 the measure of all these angles will be 75°.

9. since AB║CD the measure of ∠BCD will also be 72° and as we can see both x and y are equal we have to find the bisector of 72° and that will be the measure of x and y. the bisector of 72° is=72°/2=36° so the measures of both x and y are 36°.

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