Question 20 of 22intermediate🔧 ApplyDiagram3 marks

Draw the letter 'Y' such that the three angles formed are 150°, 60° and 150°.

Correct Answer

Draw the letter Y with three angles: two angles of 150° each (obtuse angles) at the bottom where the diagonal lines meet the vertical stem, and one angle of 60° (acute angle) at the top where the two upper branches meet. The Y shape creates three angles that should sum to 360° around the center point.

Exercise: Figure it Out (Section 11) | Q: 5 | (Page Page 41)
For More Understanding

Explanation

The letter Y has three angles formed at the junction point. Two angles of 150° are obtuse angles, and one angle of 60° is an acute angle. Students should draw the Y shape using a protractor to create these specific angles. Note that 150° + 150° + 60° = 360°, which makes sense as the angles around a point sum to 360°.

Solution Steps

  1. Step 1: Draw a vertical line for the stem of Y.

  2. Step 2: At the junction point, plan three angles: 150°, 60°, 150°.

  3. Step 3: Draw the left diagonal branch creating a 150° angle with the stem.

  4. Step 4: Draw the right diagonal branch creating angles of 60° at top and 150° with stem.

  5. Step 5: Verify all angles using a protractor.