Given that ∠ is a right angle with ray OP at the middle of the angle, ∠ is the sum of two angles ∠ and ∠ and ∠ ≅ ∠, find the value of , if ∠ = 2 + 9 *
Answers
Step-by-step explanation:
angle 2+9=angle11 ok done bro simple
Given ∠TOS is a right angle with ray OP at the middle of the angle, ∠TOS
is the sum of two angles ∠TOP and ∠POS and ∠TOP ≅ ∠POS,
m∠TOP = 2a + 9
To find : the value of a
A. a = 18
B. a = 19
C. a = 20
D. a = 21
Solution:
∠TOS is a right angle
=> m∠TOS = 90°
∠TOS is the sum of two angles ∠TOP and ∠POS
=> m∠TOS = m∠TOP + m∠POS
From both
m∠TOP + m∠POS = 90°
∠TOP ≅ ∠POS,
=> m∠TOP = m ∠POS
=> m∠TOP + m∠TOP = 90°
=> 2m∠TOP = 90°
=> m∠TOP = 45°
m∠TOP = (2a + 9)°
Equate
2a + 9 = 45
=> 2a = 36
=> a = 18
Value of a is 18
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