Measure all three angles of the triangle shown in Fig. 2.21 (a), and write the measures down near the respective angles.
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Measure all three angles of the triangle shown in Fig. 2.21 (a), and write the measures down near the respective angles. Class 6
Question 1.
Measure all three angles of the triangle shown in Fig. 2.21 (a), and write the measures down near the respective angles. Now add up the three measures. What do you get? Do the same for the triangles in Fig. 2.21 (b) and (c). Try it for other triangles as well, and then make a conjecture for what happens in general! We will come back to why this happens in a later year. Class 6
Solution:
In (a), ∠A = 45°; ∠B = 65°, and ∠C = 70°.
In (b), ∠A = 50°; ∠B = 65°, and ∠C = 65°.
In (c), ∠A = 30°; ∠B = 55°, and ∠C = 95°.
The sum of the three angles in each of these triangles is 180°.