pls give step by step explanation
Answers
Step-by-step explanation:
first add 50 and 70 and you will get the value ok ? and it is 120 and if you substract it it is 20 check it yourself you need to know the answer your self but u told you the step ok ?
make sure youn answer my question ok ?
We are given that PQRS is a parallelogram. Let us begin by finding the measure of ∠TRQ.
As PQRS is a parallelogram, PQ║SR. When a transversal cuts two parallel lines, the corresponding angles are equal. Then ∠RSP = ∠TRQ since they are corresponding angles. So, ∠TRQ = 50°.
(Alternative method to find ∠TRQ:
Adjacent angles in a parallelogram are supplementary.
Therefore,
⇒ ∠QRS + ∠RSP = 180°
⇒ ∠QRS + 50 = 180
⇒ ∠QRS = 180 - 50
⇒ ∠QRS = 130°
∠TRQ and ∠QRS are also supplementary since they form a linear pair. So,
⇒ ∠TRQ + ∠QRS = 180°
⇒ ∠TRQ + 130 = 180
⇒ ∠TRQ = 180 - 130
⇒ ∠TRQ = 50° )
Now we have the measures of two of the three angles in triangle QTR:
- ∠TRQ = 50°
- ∠RQT = 70°
To find x or angle QTR, we can use the angle sum property of triangles. It states that the sum of all interior angles of a triangle is 180°. So,
⇒ ∠QTR + ∠TRQ + ∠RQT = 180°
⇒ x + 50 + 70 = 180
⇒ x + 120 = 180
⇒ x = 180 - 120
⇒ x = 60°