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Yes, you do have rights here because this condition threatens your safety. The Texas Property Code governing landlord tenant rights specifically addresses this as follows:
Sec. 92.056. LANDLORD LIABILITY AND TENANT REMEDIES; NOTICE AND TIME FOR REPAIR. (a) A landlord's liability under this section is subject to Section 92.052(b) regarding conditions that are caused by a tenant and Section 92.054 regarding conditions that are insured casualties.
(b) A landlord is liable to a tenant as provided by this subchapter if:
(2) the condition materially affects the physical health or safety of an ordinary tenant;
(3) the tenant has given the landlord a subsequent written notice to repair or remedy the condition after a reasonable time to repair or remedy the condition following the notice given under Subdivision (1) or the tenant has given the notice under Subdivision (1) by sending that notice by certified mail, return receipt requested, or by registered mail;
(4) the landlord has had a reasonable time to repair or remedy the condition after the landlord received the tenant's notice under Subdivision (1) and, if applicable, the tenant's subsequent notice under Subdivision (3);
(5) the landlord has not made a diligent effort to repair or remedy the condition after the landlord received the tenant's notice under Subdivision (1) and, if applicable, the tenant's notice under Subdivision (3); and
(6) the tenant was not delinquent in the payment of rent at the time any notice required by this subsection was given.
(c) For purposes of Subsection (b)(4) or (5), a landlord is considered to have received the tenant's notice when the landlord or the landlord's agent or employee has actually received the notice or when the United States Postal Service has attempted to deliver the notice to the landlord.
(d) For purposes of Subsection (b)(3) or (4), in determining whether a period of time is a reasonable time to repair or remedy a condition, there is a rebuttable presumption that seven days is a reasonable time. To rebut that presumption, the date on which the landlord received the tenant's notice, the severity and nature of the condition, and the reasonable availability of materials and labor and of utilities from a utility company must be considered.
(e) Except as provided in Subsection (f), a tenant to whom a landlord is liable under Subsection (b) of this section may:
(1) terminate the lease;
(2) have the condition repaired or remedied according to Section 92.0561;
(3) deduct from the tenant's rent, without necessity of judicial action, the cost of the repair or remedy according to Section 92.0561; and
(4) obtain judicial remedies according to Section 92.0563.
(f) A tenant who elects to terminate the lease under Subsection (e) is:
(1) entitled to a pro rata refund of rent from the date of termination or the date the tenant moves out, whichever is later;
(2) entitled to deduct the tenant's security deposit from the tenant's rent without necessity of lawsuit or obtain a refund of the tenant's security deposit according to law;
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