randRange(0, 359) randRange(20, 70)

Is the shown angle acute, right, or obtuse?

var ANGLE_TWO = ANGLE_ONE + DIFF; var ANGLE_ONE_R = ANGLE_ONE * PI / 180; var ANGLE_TWO_R = ANGLE_TWO * PI / 180; init({ range: [ [-11, 31], [-10, 10] ], scale: 20 }); path([ [5 * cos( ANGLE_ONE_R ), 5 * sin( ANGLE_ONE_R )], [0, 0], [5 * cos( ANGLE_TWO_R ), 5 * sin( ANGLE_TWO_R )] ]); DIFF == 90 ? path([ [1 * cos( ANGLE_ONE_R ), 1 * sin( ANGLE_ONE_R )], [sqrt(2) * cos( ANGLE_ONE_R + PI / 4 ), sqrt(2) * sin( ANGLE_ONE_R + PI / 4)], [1 * cos( ANGLE_TWO_R ), 1 * sin( ANGLE_TWO_R )] ]) : arc( [0,0], 1, ANGLE_ONE, ANGLE_TWO ); graph.protractor = new Protractor( [22, 0], 8 ); Khan.scratchpad.disable();
Acute
• Acute
• Right
• Obtuse
protractorHint( graph.protractor, 360 - ANGLE_ONE, DIFF );

The shown angle measures less than `90^\circ`.

Therefore, it is an acute angle.

randRange(110, 160)
Obtuse
protractorHint( graph.protractor, 360 - ANGLE_ONE, DIFF );

The shown angle measures more than `90^\circ`.

Therefore, it is an obtuse angle.