Answer:
Step-by-step explanation:
Yes
Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.
∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Prove: ∠A ~= ∠C.
Statements Reasons
1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given
2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary
3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality
4. m∠A = m∠C Substitution (step 3)
5. ∠A ~= ∠C Definition of ~=
Answer:
Heyy
Step-by-step explanation:
△ABC is a right angled triangle and right angle at B
sinA=
AC
BC
, cosA=
AC
AB
⟹sinA+cosA=
AC
BC
+
AC
AB
=
AC
BC+AB
[We know that sum of two sides of a triangle is greater than the third side]
⟹sinA+cosA>
AC
AC
=1
Hence, sinA+cosA>1
Answer:
m>14 or m< -2
Step-by-step explanation:
