Question

hey! I really need help with these last two questions! thank you! I need step by step so I can at least learn

1. The Consecutive angles of a parallelogram measure (x+18) and 5x. What is the measure of the smallest angle?

2.. QRST is a parallelogram. Find the measure of angle T
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Answer 1

Answer:

Q1 Ans: 45

Step-by-step explanation:

sum of opp. angle of llgm is 180

so, x+18 +5x = 180

6x + 18 = 180

6x = 180- 18

6x = 162

x = 27

since, the angle be x + 18

= 27 + 18

= 45°

other angle be 5x

= 5 x 27

= 135°

hence the smallest angle be 45°

Ques no 2

QRST is a llgm

∠Q + ∠S = 180° ( opp. angle )

(8x+ 13)° + (11x - 23)° = 180°

19x - 10° = 180°

19x = 180° + 10°

19x = 190°

x = 10°

since ∠Q= (8x + 13)°

= (8x10 + 13)°

= 93°

∠S= (11x - 23)°

= 11x10 -23

= 87°

now, ∠T + ∠S = 180° ( co. int. angle )

∠T + 87° = 180°

∠T = 180° - 87°

∠T = 93°

hence the m∠T = 93°