Question

计算:76°36’+69°65’ 180°-23°17‘57“ 19°37'26‘‘×9 43°13‘28‘‘÷2-10°5‘18‘‘

1）76°36’+69°65’
2）180°-23°17’57’’
3）19°37'26”×9
4）43°13'28”÷2-10°5'18”

Answer 1

76°36′+69°65′
=(76°+69°)+(36′+65′)
=145°+101′
=145°+60′+41′
=145°+1°+41′
=146°+41′
=146°41′

180°-23°17′57″
=179°59′60″-23°17′57″
=(179°-23°)+(59′-17′)+(60″-57″)
=156°+42′+3″
=156°42′3″

19°37′26″×9
=(19°+37′+26″)×9
=19°×9+37′×9+26″×9
=171°+333′+234″
=171°+300′+33′+180″+54″
=171°+5°+33′+3′+54″
=176°+36′+54″
=176°36′54″

43°13′28″÷2-10°5′18″
=(42°+60′+12′+60″+28″)÷2-10°5′18″
=(42°+72′+88″)÷2-10°5′18″
=(42°÷2+72′÷2+88″÷2)-10°5′18″
=(21°+36′+44″)-10°5′18″
=21°36′44″-10°5′18″
=(21°-10°)+(36′-5′)+(44″-18″)
=11°+31′+26″
=11°31′26″