In the adjoining figure, GP bisects angle BGH and HP bisects angle GHD. calculate the size of angle a.

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal

Therefore angles BGH and DHG are consecutive interior angles

As we know the sum of consecutive interior angles equals to 180°:

Line GP bisects angle BGH , therefore

Line HP bisects angle GHD, therefore

Sum of two angles of triangle GHP:

Therefore the missing angle a is:

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.