Question

find the measure of angle a in each figure . Give reason in each case
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Answer 1

Answer:

1) 90+a= 180

a= 90

2) a= 43

3) a+96+209= 360

a= 360-305

= 55

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Answer 2

Answer:

(a)

Sum of all interior angles of quadrilateral =360°

∴50+130+120+x=300

x=60°

(b)

90+a=180

a=90

Sum of all angles of quad =360

x+70+60+90=360

x=140°

(c)

70+a=180 (Linear pair)

a=110

60+b=180 (Linear pair)

b=120

Sum of measures of all angles of pentagon =540°

∴120+110+x+x+30=540

2x=280

x=140 °