Question

1. Can the following be measures of three angles of a
triangle ?
(a)63°, 38°, 79° (b) 30°, 55°, 65°
(c) 40°, 90°, 50° (d) 130°, 40°, 50°​

Answer 1

Answer:

The six elements of a triangle are its three angles and the three ... Two angles, say ∠ABC and ∠PQR, are congruent, if their measures ... (a) 55°. (b) 40°. (c) 50°. (d) 45°. 24. In Fig. 6.13, ∠BAC = 90°, AD ⊥ BC

Answer 2

Answer:

$\huge \bf \: required \: answer$

Case - 1

As we know that the sum of angle of triangle is = 180

So, sum of given sides

$63 \degree + 38\degree + 79\degree = 180\degree$

$180\degree = 180\degree$

$LHS \: = RHS \:$

Hence this triangle can be formed.

Case - 2

$30\degree + 55\degree + 65\degree = 180\degree$

$150\degree = 180\degree$

$LHS \: < RHS \:$

Hence this triangle can't be formed.

Case - 3

$40\degree + 90\degree + 50\degree = 180\degree$

$180\degree = 180\degree$

$LHS \: = RHS \:$

Hence this triangle can be formed.

Case - 4

$130\degree + 40\degree + 50\degree = 180\degree$

$220\degree = 180\degree$

$LHS \: > \: RHS \:$

Hence 1 and 3 cases can be formed a triangle.